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97232765454 = 232112388111503
BaseRepresentation
bin101101010001110000…
…1100100001000001110
3100021222022121021002100
41122203201210020032
53043113041443304
6112400151335530
710011342604206
oct1324341441016
9307868537070
1097232765454
11382663a7900
1216a170815a6
139227415156
1449c5729406
1527e1323439
hex16a386420e

97232765454 has 72 divisors (see below), whose sum is σ = 231643784736. Its totient is φ = 29454321600.

The previous prime is 97232765437. The next prime is 97232765467. The reversal of 97232765454 is 45456723279.

97232765454 is a `hidden beast` number, since 9 + 7 + 23 + 2 + 76 + 545 + 4 = 666.

It is a super-2 number, since 2×972327654542 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97232765454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8447067 + ... + 8458569.

It is an arithmetic number, because the mean of its divisors is an integer number (3217274788).

Almost surely, 297232765454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97232765454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115821892368).

97232765454 is an abundant number, since it is smaller than the sum of its proper divisors (134411019282).

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

97232765454 is a wasteful number, since it uses less digits than its factorization.

97232765454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15414 (or 15400 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 97232765454 in words is "ninety-seven billion, two hundred thirty-two million, seven hundred sixty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3881 7762 11503 11643 23006 23286 34509 34929 42691 69018 69858 85382 103527 126533 128073 207054 253066 256146 379599 384219 469601 759198 768438 939202 1138797 1391863 1408803 2277594 2783726 2817606 4175589 4226409 8351178 8452818 12526767 25053534 44643143 89286286 133929429 267858858 401788287 491074573 803576574 982149146 1473223719 2946447438 4419671157 5401820303 8839342314 10803640606 16205460909 32410921818 48616382727 97232765454