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107634517929 = 362924192
BaseRepresentation
bin110010000111110000…
…1000110011110101001
3101021211020100001000000
41210033201012132221
53230413414033204
6121240245133213
710530166210161
oct1441741063651
9337736301000
10107634517929
1141713974454
1218a3a6ba209
13a1c4408783
1452d0d8b5a1
152bee5de039
hex190f8467a9

107634517929 has 63 divisors (see below), whose sum is σ = 167534439943. Its totient is φ = 69116637744.

The previous prime is 107634517919. The next prime is 107634517931. The reversal of 107634517929 is 929715436701.

The square root of 107634517929 is 328077.

It is a perfect power (a square), and thus also a powerful number.

107634517929 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 34 + 517 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56440930329 + 51193587600 = 237573^2 + 226260^2 .

It is not a de Polignac number, because 107634517929 - 27 = 107634517801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107634517919) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 256884082 + ... + 256884500.

Almost surely, 2107634517929 is an apocalyptic number.

107634517929 is the 328077-th square number.

107634517929 is the 164039-th centered octagonal number.

It is an amenable number.

107634517929 is a deficient number, since it is larger than the sum of its proper divisors (59899922014).

107634517929 is an frugal number, since it uses more digits than its factorization.

107634517929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 107634517929 in words is "one hundred seven billion, six hundred thirty-four million, five hundred seventeen thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 29 81 87 243 261 419 729 783 841 1257 2349 2523 3771 7047 7569 11313 12151 21141 22707 33939 36453 68121 101817 109359 175561 204363 305451 328077 352379 526683 613089 984231 1057137 1580049 2952693 3171411 4740147 5091269 8858079 9514233 14220441 15273807 28542699 42661323 45821421 85628097 127983969 137464263 147646801 256884291 412392789 442940403 1237178367 1328821209 3711535101 3986463627 11959390881 35878172643 107634517929