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102396172912 = 241131411672741
BaseRepresentation
bin101111101011101001…
…0011001101001110000
3100210022011110112112121
41133113102121221300
53134201410013122
6115012401204024
710253321052235
oct1372722315160
9323264415477
10102396172912
113a475a742a0
1217a18330614
13986b088437
144d553a578c
1529e47a6bc7
hex17d7499a70

102396172912 has 160 divisors (see below), whose sum is σ = 230313259008. Its totient is φ = 43664640000.

The previous prime is 102396172889. The next prime is 102396172987. The reversal of 102396172912 is 219271693201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37355862 + ... + 37358602.

Almost surely, 2102396172912 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 102396172912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115156629504).

102396172912 is an abundant number, since it is smaller than the sum of its proper divisors (127917086096).

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

102396172912 is a wasteful number, since it uses less digits than its factorization.

102396172912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 102396172912 in words is "one hundred two billion, three hundred ninety-six million, one hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 41 44 62 82 88 124 164 167 176 248 328 334 341 451 496 656 668 682 902 1271 1336 1364 1804 1837 2542 2672 2728 2741 3608 3674 5084 5177 5456 5482 6847 7216 7348 10168 10354 10964 13694 13981 14696 20336 20708 21928 27388 27962 29392 30151 41416 43856 54776 55924 56947 60302 75317 82832 84971 109552 111848 112381 113894 120604 150634 169942 212257 223696 224762 227788 241208 301268 339884 424514 449524 455576 457747 482416 602536 679768 849028 899048 911152 915494 934681 1205072 1236191 1359536 1698056 1798096 1830988 1869362 2334827 2472382 3396112 3483811 3661976 3738724 4669654 4944764 5035217 6967622 7323952 7477448 9339308 9889528 10070434 13935244 14190157 14954896 18678616 18767627 19779056 20140868 27870488 28380314 37357232 37535254 38321921 40281736 55740976 56760628 75070508 76643842 80563472 113521256 150141016 153287684 156091727 206443897 227042512 300282032 306575368 312183454 412887794 581796437 613150736 624366908 825775588 1163592874 1248733816 1651551176 2327185748 2497467632 3303102352 4654371496 6399760807 9308742992 12799521614 25599043228 51198086456 102396172912