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103997991394656 = 25321721249495283
BaseRepresentation
bin10111101001010111101011…
…010101011001110101100000
3111122020002222211110111200100
4113221113223111121311200
5102112400341244112111
61005104003453222400
730622415114243202
oct2751275325316540
9448202884414610
10103997991394656
1130156333a13927
12b7b7610a91a00
134604c78a734b8
141b9775b496772
15c0535e267756
hex5e95eb559d60

103997991394656 has 108 divisors (see below), whose sum is σ = 314164347741972. Its totient is φ = 32626820803584.

The previous prime is 103997991394643. The next prime is 103997991394727. The reversal of 103997991394656 is 656493199799301.

103997991394656 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 97 + 9 + 91 + 394 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 624664410 + ... + 624830873.

It is an arithmetic number, because the mean of its divisors is an integer number (2908929145759).

Almost surely, 2103997991394656 is an apocalyptic number.

103997991394656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103997991394656 is an abundant number, since it is smaller than the sum of its proper divisors (210166356347316).

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

103997991394656 is a wasteful number, since it uses less digits than its factorization.

103997991394656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249495333 (or 1249495305 counting only the distinct ones).

The product of its (nonzero) digits is 2678462640, while the sum is 81.

The spelling of 103997991394656 in words is "one hundred three trillion, nine hundred ninety-seven billion, nine hundred ninety-one million, three hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 6936 9248 10404 13872 20808 27744 41616 83232 1249495283 2498990566 3748485849 4997981132 7496971698 9995962264 11245457547 14993943396 19991924528 21241419811 22490915094 29987886792 39983849056 42482839622 44981830188 59975773584 63724259433 84965679244 89963660376 119951547168 127448518866 169931358488 179927320752 191172778299 254897037732 339862716976 359854641504 361104136787 382345556598 509794075464 679725433952 722208273574 764691113196 1019588150928 1083312410361 1444416547148 1529382226392 2039176301856 2166624820722 2888833094296 3058764452784 3249937231083 4333249641444 5777666188592 6117528905568 6499874462166 8666499282888 11555332377184 12999748924332 17332998565776 25999497848664 34665997131552 51998995697328 103997991394656