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10440555216 = 2437133764601
BaseRepresentation
bin10011011100100111…
…00011101011010000
3222221121202011021020
421232103203223100
5132340240231331
64444001155440
7516504153330
oct115623435320
928847664236
1010440555216
11447846a733
12203462bb80
13ca505b230
147108830c0
154118d2c96
hex26e4e3ad0

10440555216 has 160 divisors (see below), whose sum is σ = 34093317888. Its totient is φ = 2679091200.

The previous prime is 10440555199. The next prime is 10440555227. The reversal of 10440555216 is 61255504401.

10440555216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129316 + ... + 193916.

Almost surely, 210440555216 is an apocalyptic number.

10440555216 is a gapful number since it is divisible by the number (16) 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 10440555216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046658944).

10440555216 is an abundant number, since it is smaller than the sum of its proper divisors (23652762672).

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

10440555216 is a wasteful number, since it uses less digits than its factorization.

10440555216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64669 (or 64663 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 10440555216 in words is "ten billion, four hundred forty million, five hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 1036 1092 1443 1456 1554 1776 1924 2072 2184 2886 3108 3367 3848 4144 4368 5772 6216 6734 7696 10101 11544 12432 13468 20202 23088 26936 40404 53872 64601 80808 129202 161616 193803 258404 387606 452207 516808 775212 839813 904414 1033616 1356621 1550424 1679626 1808828 2390237 2519439 2713242 3100848 3359252 3617656 4780474 5038878 5426484 5878691 6718504 7170711 7235312 9560948 10077756 10852968 11757382 13437008 14341422 16731659 17636073 19121896 20155512 21705936 23514764 28682844 31073081 33463318 35272146 38243792 40311024 47029528 50194977 57365688 62146162 66926636 70544292 93219243 94059056 100389954 114731376 124292324 133853272 141088584 186438486 200779908 217511567 248584648 267706544 282177168 372876972 401559816 435023134 497169296 652534701 745753944 803119632 870046268 1305069402 1491507888 1740092536 2610138804 3480185072 5220277608 10440555216