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231097536648 = 233411171907123
BaseRepresentation
bin1101011100111001111…
…1001001000010001000
3211002111120210020010000
43113032133021002020
512241241432133043
6254055330123000
722460545436106
oct3271637110210
9732446706100
10231097536648
118a00a597810
1238956120460
1318a3bbb1934
14b2841c6c76
1560285e92d3
hex35ce7c9088

231097536648 has 160 divisors (see below), whose sum is σ = 747668892960. Its totient is φ = 65910136320.

The previous prime is 231097536647. The next prime is 231097536707. The reversal of 231097536648 is 846635790132.

231097536648 is a `hidden beast` number, since 2 + 3 + 10 + 97 + 536 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 231097536594 and 231097536603.

It is not an unprimeable number, because it can be changed into a prime (231097536641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 832386 + ... + 1074737.

It is an arithmetic number, because the mean of its divisors is an integer number (4672930581).

It is a 1-persistent number, because it is pandigital, but 2⋅231097536648 = 462195073296 is not.

Almost surely, 2231097536648 is an apocalyptic number.

It is an amenable number.

231097536648 is an abundant number, since it is smaller than the sum of its proper divisors (516571356312).

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

231097536648 is a wasteful number, since it uses less digits than its factorization.

231097536648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907169 (or 1907156 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 231097536648 in words is "two hundred thirty-one billion, ninety-seven million, five hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 132 136 153 162 187 198 204 216 264 297 306 324 374 396 408 459 561 594 612 648 748 792 891 918 1122 1188 1224 1377 1496 1683 1782 1836 2244 2376 2754 3366 3564 3672 4488 5049 5508 6732 7128 10098 11016 13464 15147 20196 30294 40392 60588 121176 1907123 3814246 5721369 7628492 11442738 15256984 17164107 20978353 22885476 32421091 34328214 41956706 45770952 51492321 62935059 64842182 68656428 83913412 97263273 102984642 125870118 129684364 137312856 154476963 167826824 188805177 194526546 205969284 251740236 259368728 291789819 308953926 356632001 377610354 389053092 411938568 503480472 566415531 583579638 617907852 713264002 755220708 778106184 875369457 1069896003 1132831062 1167159276 1235815704 1426528004 1510441416 1699246593 1750738914 2139792006 2265662124 2334318552 2626108371 2853056008 3209688009 3398493186 3501477828 4279584012 4531324248 5252216742 6419376018 6796986372 7002955656 8559168024 9629064027 10504433484 12838752036 13593972744 19258128054 21008866968 25677504072 28887192081 38516256108 57774384162 77032512216 115548768324 231097536648