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232345379097 = 331317194334733
BaseRepresentation
bin1101100001100011011…
…1010010000100011001
3211012201112211012011000
43120120313102010121
512301320404112342
6254423223455213
722533510064536
oct3303067220431
9735645735130
10232345379097
118a59aa00267
1239043bb7509
1318baa587450
14b361c0bd8d
15609ce3544c
hex3618dd2119

232345379097 has 128 divisors (see below), whose sum is σ = 414198489600. Its totient is φ = 127167086592.

The previous prime is 232345379089. The next prime is 232345379113. The reversal of 232345379097 is 790973543232.

232345379097 is a `hidden beast` number, since 2 + 32 + 3 + 453 + 79 + 0 + 97 = 666.

It is not a de Polignac number, because 232345379097 - 23 = 232345379089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232345379027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49088143 + ... + 49092875.

It is an arithmetic number, because the mean of its divisors is an integer number (3235925700).

Almost surely, 2232345379097 is an apocalyptic number.

232345379097 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

232345379097 is a deficient number, since it is larger than the sum of its proper divisors (181853110503).

232345379097 is a wasteful number, since it uses less digits than its factorization.

232345379097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 232345379097 in words is "two hundred thirty-two billion, three hundred forty-five million, three hundred seventy-nine thousand, ninety-seven".

Divisors: 1 3 9 13 17 19 27 39 51 57 117 153 171 221 247 323 351 433 459 513 663 741 969 1299 1989 2223 2907 3897 4199 4733 5629 5967 6669 7361 8227 8721 11691 12597 14199 16887 22083 24681 37791 42597 50661 61529 66249 74043 80461 89927 95693 106951 113373 127791 139859 151983 184587 198747 222129 241383 269781 287079 320853 419577 553761 724149 809343 861237 962559 1045993 1169051 1258731 1528759 1661283 1818167 2049389 2172447 2428029 2583711 2887677 3137979 3507153 3776193 4586277 5454501 6148167 9413937 10521459 13758831 16363503 18444501 19873867 26642057 28241811 31564377 34839613 38938391 41276493 49090509 55333503 59621601 79926171 104518839 116815173 178864803 239778513 313556517 350445519 452914969 506199083 536594409 661952647 719335539 940669551 1051336557 1358744907 1518597249 1985857941 4076234721 4555791747 5957573823 8605384411 12228704163 13667375241 17872721469 25816153233 77448459699 232345379097