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2153663046312 = 2331931781118371
BaseRepresentation
bin11111010101110000010…
…100100010001010101000
321121212222110222101201120
4133111300110202022220
5240241200214440222
64325213521215240
7311411530563441
oct37256024421250
97555873871646
102153663046312
117603aa709938
122a9489491520
1312812199934b
14763489222c8
153b04d47415c
hex1f5705222a8

2153663046312 has 128 divisors (see below), whose sum is σ = 5692733222400. Its totient is φ = 677085868800.

The previous prime is 2153663046287. The next prime is 2153663046317. The reversal of 2153663046312 is 2136403663512.

It is not an unprimeable number, because it can be changed into a prime (2153663046317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117222487 + ... + 117240857.

It is an arithmetic number, because the mean of its divisors is an integer number (44474478300).

Almost surely, 22153663046312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153663046312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846366611200).

2153663046312 is an abundant number, since it is smaller than the sum of its proper divisors (3539070176088).

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

2153663046312 is a wasteful number, since it uses less digits than its factorization.

2153663046312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19527 (or 19523 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 2153663046312 in words is "two trillion, one hundred fifty-three billion, six hundred sixty-three million, forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 317 456 634 811 951 1268 1622 1902 2433 2536 3244 3804 4866 6023 6488 7608 9732 12046 15409 18069 18371 19464 24092 30818 36138 36742 46227 48184 55113 61636 72276 73484 92454 110226 123272 144552 146968 184908 220452 257087 349049 369816 440904 514174 698098 771261 1028348 1047147 1396196 1542522 2056696 2094294 2792392 3085044 4188588 4884653 5823607 6170088 8377176 9769306 11647214 14653959 14898881 17470821 19538612 23294428 29307918 29797762 34941642 39077224 44696643 46588856 58615836 59595524 69883284 89393286 110648533 117231672 119191048 139766568 178786572 221297066 283078739 331945599 357573144 442594132 566157478 663891198 849236217 885188264 1132314956 1327782396 1698472434 2264629912 2655564792 3396944868 4722945277 6793889736 9445890554 14168835831 18891781108 28337671662 37783562216 56675343324 89735960263 113350686648 179471920526 269207880789 358943841052 538415761578 717887682104 1076831523156 2153663046312