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378255370055552 = 27111995527244253
BaseRepresentation
bin101011000000001010111000…
…0111101110110111110000000
31211121021212020002202200222122
41112000111300331312332000
5344034313444213234202
63420252041302223412
7142450022455013633
oct12600256075667600
91747255202680878
10378255370055552
11aa584224332270
1236510512124b68
131330a4364a9102
14695992c61bc1a
152dae4547869a2
hex1580570f76f80

378255370055552 has 128 divisors (see below), whose sum is σ = 826344500544000. Its totient is φ = 171038615869440.

The previous prime is 378255370055551. The next prime is 378255370055573. The reversal of 378255370055552 is 255550073552873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378255370055551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548499058 + ... + 1548743310.

It is an arithmetic number, because the mean of its divisors is an integer number (6455816410500).

Almost surely, 2378255370055552 is an apocalyptic number.

378255370055552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378255370055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413172250272000).

378255370055552 is an abundant number, since it is smaller than the sum of its proper divisors (448089130488448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378255370055552 is a wasteful number, since it uses less digits than its factorization.

378255370055552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250004 (or 249992 counting only the distinct ones).

The product of its (nonzero) digits is 220500000, while the sum is 62.

The spelling of 378255370055552 in words is "three hundred seventy-eight trillion, two hundred fifty-five billion, three hundred seventy million, fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 199 352 398 704 796 1408 1592 2189 3184 4378 5527 6368 8756 11054 12736 17512 22108 25472 35024 44216 60797 70048 88432 121594 140096 176864 243188 244253 280192 353728 486376 488506 707456 972752 977012 1099873 1945504 1954024 2199746 2686783 3891008 3908048 4399492 5373566 7782016 7816096 8798984 10747132 12098603 15632192 17597968 21494264 24197206 31264384 35195936 42988528 48394412 48606347 70391872 85977056 96788824 97212694 140783744 171954112 193577648 194425388 343908224 387155296 388850776 534669817 774310592 777701552 1069339634 1349986331 1548621184 1555403104 2138679268 2699972662 3110806208 4277358536 5399945324 6221612416 8554717072 10799890648 14849849641 17109434144 21599781296 29699699282 34218868288 43199562592 59399398564 68437736576 86399125184 118798797128 172798250368 237597594256 268647279869 475195188512 537294559738 950390377024 1074589119476 1900780754048 2149178238952 2955120078559 4298356477904 5910240157118 8596712955808 11820480314236 17193425911616 23640960628472 34386851823232 47281921256944 94563842513888 189127685027776 378255370055552