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102375385344 = 2832192338619
BaseRepresentation
bin101111101011000001…
…1000110100100000000
3100210020201100102100200
41133112003012210000
53134131044312334
6115010335445200
710252646263131
oct1372603064400
9323221312320
10102375385344
113a465266291
1217a11386800
13986698a6bb
144d52713c88
1529e2a4c799
hex17d60c6900

102375385344 has 108 divisors (see below), whose sum is σ = 310709053200. Its totient is φ = 32329055232.

The previous prime is 102375385247. The next prime is 102375385393. The reversal of 102375385344 is 443583573201.

102375385344 is a `hidden beast` number, since 1 + 0 + 23 + 7 + 538 + 53 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102375385344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125534 + ... + 1213085.

Almost surely, 2102375385344 is an apocalyptic number.

It is an amenable number.

102375385344 is an abundant number, since it is smaller than the sum of its proper divisors (208333667856).

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

102375385344 is a wasteful number, since it uses less digits than its factorization.

102375385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338660 (or 2338643 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 102375385344 in words is "one hundred two billion, three hundred seventy-five million, three hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 2338619 4677238 7015857 9354476 14031714 18708952 21047571 28063428 37417904 42095142 44433761 56126856 74835808 84190284 88867522 112253712 133301283 149671616 168380568 177735044 224507424 266602566 299343232 336761136 355470088 399903849 449014848 533205132 598686464 673522272 710940176 799807698 898029696 1066410264 1347044544 1421880352 1599615396 1796059392 2132820528 2694089088 2843760704 3199230792 4265641056 5388178176 5687521408 6398461584 8531282112 11375042816 12796923168 17062564224 25593846336 34125128448 51187692672 102375385344