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16957022112 = 253519114773
BaseRepresentation
bin11111100101011011…
…11001111110100000
31121202202121222100000
433302231321332200
5234211444201422
611442343500000
71140132211152
oct176255717640
947682558300
1016957022112
117211884768
123352a57600
1317a31262c4
14b6c0d2ad2
15693a37cac
hex3f2b79fa0

16957022112 has 144 divisors (see below), whose sum is σ = 52639947360. Its totient is φ = 5354802432.

The previous prime is 16957022111. The next prime is 16957022119. The reversal of 16957022112 is 21122075961.

16957022112 is a `hidden beast` number, since 1 + 69 + 570 + 2 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16957022111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90358 + ... + 205130.

It is an arithmetic number, because the mean of its divisors is an integer number (365555190).

Almost surely, 216957022112 is an apocalyptic number.

16957022112 is a gapful number since it is divisible by the number (12) 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 16957022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319973680).

16957022112 is an abundant number, since it is smaller than the sum of its proper divisors (35682925248).

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

16957022112 is a wasteful number, since it uses less digits than its factorization.

16957022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114817 (or 114797 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 16957022112 in words is "sixteen billion, nine hundred fifty-seven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 864 912 972 1026 1296 1368 1539 1824 1944 2052 2592 2736 3078 3888 4104 4617 5472 6156 7776 8208 9234 12312 16416 18468 24624 36936 49248 73872 114773 147744 229546 344319 459092 688638 918184 1032957 1377276 1836368 2065914 2180687 2754552 3098871 3672736 4131828 4361374 5509104 6197742 6542061 8263656 8722748 9296613 11018208 12395484 13084122 16527312 17445496 18593226 19626183 24790968 26168244 27889839 33054624 34890992 37186452 39252366 49581936 52336488 55779678 58878549 69781984 74372904 78504732 99163872 104672976 111559356 117757098 148745808 157009464 176635647 209345952 223118712 235514196 297491616 314018928 353271294 446237424 471028392 529906941 628037856 706542588 892474848 942056784 1059813882 1413085176 1884113568 2119627764 2826170352 4239255528 5652340704 8478511056 16957022112