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172966068 = 2232113731171
BaseRepresentation
bin10100100111101…
…00000010110100
3110001110120211200
422103310002310
5323234403233
625055132500
74200121152
oct1223640264
9401416750
10172966068
11896a8a70
1249b14130
1329ab03b2
1418d863d2
15102b9313
hexa4f40b4

172966068 has 72 divisors (see below), whose sum is σ = 478654176. Its totient is φ = 52228800.

The previous prime is 172966051. The next prime is 172966093. The reversal of 172966068 is 860669271.

172966068 is a `hidden beast` number, since 17 + 29 + 6 + 606 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147123 + ... + 148293.

Almost surely, 2172966068 is an apocalyptic number.

172966068 is a gapful number since it is divisible by the number (18) 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 172966068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239327088).

172966068 is an abundant number, since it is smaller than the sum of its proper divisors (305688108).

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

172966068 is a wasteful number, since it uses less digits than its factorization.

172966068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 172966068 is about 13151.6564736158. The cubic root of 172966068 is about 557.1690333151.

The spelling of 172966068 in words is "one hundred seventy-two million, nine hundred sixty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 373 396 746 1119 1171 1492 2238 2342 3357 3513 4103 4476 4684 6714 7026 8206 10539 12309 12881 13428 14052 16412 21078 24618 25762 36927 38643 42156 49236 51524 73854 77286 115929 147708 154572 231858 436783 463716 873566 1310349 1747132 2620698 3931047 4804613 5241396 7862094 9609226 14413839 15724188 19218452 28827678 43241517 57655356 86483034 172966068