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112053153504 = 25341131217319
BaseRepresentation
bin110100001011011100…
…0110110111011100000
3101201020011202222111110
41220112320312323200
53313441101403004
6123250531543320
711044532042505
oct1502670667340
9351204688443
10112053153504
11435810a1796
121987245ab40
13a749994b36
1455cdb574ac
152dac4a9589
hex1a16e36ee0

112053153504 has 96 divisors (see below), whose sum is σ = 303615164160. Its totient is φ = 36161715200.

The previous prime is 112053153493. The next prime is 112053153521. The reversal of 112053153504 is 405351350211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406957 + ... + 624275.

It is an arithmetic number, because the mean of its divisors is an integer number (3162657960).

Almost surely, 2112053153504 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 112053153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151807582080).

112053153504 is an abundant number, since it is smaller than the sum of its proper divisors (191562010656).

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

112053153504 is a wasteful number, since it uses less digits than its factorization.

112053153504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217504 (or 217496 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 112053153504 in words is "one hundred twelve billion, fifty-three million, one hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 131 164 246 262 328 393 492 524 656 786 984 1048 1312 1572 1968 2096 3144 3936 4192 5371 6288 10742 12576 16113 21484 32226 42968 64452 85936 128904 171872 217319 257808 434638 515616 651957 869276 1303914 1738552 2607828 3477104 5215656 6954208 8910079 10431312 17820158 20862624 26730237 28468789 35640316 53460474 56937578 71280632 85406367 106920948 113875156 142561264 170812734 213841896 227750312 285122528 341625468 427683792 455500624 683250936 855367584 911001248 1167220349 1366501872 2334440698 2733003744 3501661047 4668881396 7003322094 9337762792 14006644188 18675525584 28013288376 37351051168 56026576752 112053153504