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54678422487552 = 293413571243137
BaseRepresentation
bin11000110111010110011111…
…11100110000001000000000
321011121012120021110011022020
430123223033330300020000
524131322402124100202
6312142530455441440
714342246165423223
oct1433531774601000
9234535507404266
1054678422487552
1116470a97037936
126171065086280
1324681cb51c6a6
14d706422475ba
1564c4a06ea5bc
hex31bacff30200

54678422487552 has 160 divisors (see below), whose sum is σ = 149261982496704. Its totient is φ = 17776548249600.

The previous prime is 54678422487529. The next prime is 54678422487553. The reversal of 54678422487552 is 25578422487645.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54678422487553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224765728 + ... + 225008864.

Almost surely, 254678422487552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54678422487552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74630991248352).

54678422487552 is an abundant number, since it is smaller than the sum of its proper divisors (94583560009152).

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

54678422487552 is a wasteful number, since it uses less digits than its factorization.

54678422487552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246770 (or 246754 counting only the distinct ones).

The product of its digits is 1204224000, while the sum is 69.

The spelling of 54678422487552 in words is "fifty-four trillion, six hundred seventy-eight billion, four hundred twenty-two million, four hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1968 2624 3571 3936 5248 7142 7872 10496 10713 14284 15744 20992 21426 28568 31488 42852 57136 62976 85704 114272 146411 171408 228544 243137 292822 342816 439233 457088 486274 585644 685632 729411 878466 914176 972548 1171288 1371264 1458822 1756932 1828352 1945096 2342576 2742528 2917644 3513864 3890192 4685152 5485056 5835288 7027728 7780384 9370304 9968617 11670576 14055456 15560768 18740608 19937234 23341152 28110912 29905851 31121536 37481216 39874468 46682304 56221824 59811702 62243072 74962432 79748936 93364608 112443648 119623404 124486144 159497872 186729216 224887296 239246808 318995744 373458432 478493616 637991488 868242227 956987232 1275982976 1736484454 1913974464 2551965952 2604726681 3472968908 3827948928 5103931904 5209453362 6945937816 7655897856 10418906724 13891875632 15311795712 20837813448 27783751264 35597931307 41675626896 55567502528 71195862614 83351253792 106793793921 111135005056 142391725228 166702507584 213587587842 222270010112 284783450456 333405015168 427175175684 444540020224 569566900912 666810030336 854350351368 1139133801824 1333620060672 1708700702736 2278267603648 3417401405472 4556535207296 6834802810944 9113070414592 13669605621888 18226140829184 27339211243776 54678422487552