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17212105056 = 2531729363677
BaseRepresentation
bin10000000001111010…
…111110000101100000
31122102112121112100110
4100001322332011200
5240222244330211
611523535051320
71146350323206
oct200172760540
948375545313
1017212105056
11733286a313
123404370b40
131813c28463
14b93d33076
156ab122ea6
hex401ebe160

17212105056 has 96 divisors (see below), whose sum is σ = 49489302240. Its totient is φ = 5213659136.

The previous prime is 17212105051. The next prime is 17212105069. The reversal of 17212105056 is 65050121271.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17212105051) 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, 134511 + ... + 229166.

It is an arithmetic number, because the mean of its divisors is an integer number (515513565).

Almost surely, 217212105056 is an apocalyptic number.

17212105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

17212105056 is an abundant number, since it is smaller than the sum of its proper divisors (32277197184).

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

17212105056 is a wasteful number, since it uses less digits than its factorization.

17212105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363736 (or 363728 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 17212105056 in words is "seventeen billion, two hundred twelve million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 5916 7888 11832 15776 23664 47328 363677 727354 1091031 1454708 2182062 2909416 4364124 5818832 6182509 8728248 10546633 11637664 12365018 17456496 18547527 21093266 24730036 31639899 34912992 37095054 42186532 49460072 63279798 74190108 84373064 98920144 126559596 148380216 168746128 179292761 197840288 253119192 296760432 337492256 358585522 506238384 537878283 593520864 717171044 1012476768 1075756566 1434342088 2151513132 2868684176 4303026264 5737368352 8606052528 17212105056