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172012689216 = 2632298633141
BaseRepresentation
bin1010000000110011000…
…0010101011101000000
3121102222212012222200100
42200030300111131000
510304240222023331
6211004352522400
715266430506514
oct2401460253500
9542885188610
10172012689216
1166a4a751395
1229406850400
13132b3c25054
14847b0b6144
15471b3b7ae6
hex280cc15740

172012689216 has 42 divisors (see below), whose sum is σ = 493043317442. Its totient is φ = 57337562880.

The previous prime is 172012689203. The next prime is 172012689229. The reversal of 172012689216 is 612986210271.

172012689216 is a `hidden beast` number, since 172 + 0 + 1 + 268 + 9 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (172012689203) and next prime (172012689229).

It can be written as a sum of positive squares in only one way, i.e., 161218310400 + 10794378816 = 401520^2 + 103896^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149315995 + ... + 149317146.

Almost surely, 2172012689216 is an apocalyptic number.

172012689216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

172012689216 is an abundant number, since it is smaller than the sum of its proper divisors (321030628226).

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

172012689216 is a wasteful number, since it uses less digits than its factorization.

172012689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298633159 (or 298633146 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 172012689216 its reverse (612986210271), we get a palindrome (784998899487).

The spelling of 172012689216 in words is "one hundred seventy-two billion, twelve million, six hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 298633141 597266282 895899423 1194532564 1791798846 2389065128 2687698269 3583597692 4778130256 5375396538 7167195384 9556260512 10750793076 14334390768 19112521024 21501586152 28668781536 43003172304 57337563072 86006344608 172012689216