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117105641244 = 22331797657557
BaseRepresentation
bin110110100010000001…
…0100100011100011100
3102012021021220221201000
41231010002210130130
53404313021004434
6125444140150300
711313662345454
oct1550402443434
9365237827630
10117105641244
1145734099599
121a842538390
13b073670257
14594cb9cd64
1530a5d2cb99
hex1b440a471c

117105641244 has 96 divisors (see below), whose sum is σ = 324781047360. Its totient is φ = 36360216576.

The previous prime is 117105641221. The next prime is 117105641267. The reversal of 117105641244 is 442146501711.

117105641244 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 0 + 5 + 641 + 2 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (117105641221) and next prime (117105641267).

It is a super-2 number, since 2×1171056412442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117105641199 and 117105641208.

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, 150687 + ... + 506870.

It is an arithmetic number, because the mean of its divisors is an integer number (3383135910).

Almost surely, 2117105641244 is an apocalyptic number.

It is an amenable number.

117105641244 is an abundant number, since it is smaller than the sum of its proper divisors (207675406116).

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

117105641244 is a wasteful number, since it uses less digits than its factorization.

117105641244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657684 (or 657676 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 117105641244 in words is "one hundred seventeen billion, one hundred five million, six hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 291 306 388 459 582 612 873 918 1164 1649 1746 1836 2619 3298 3492 4947 5238 6596 9894 10476 14841 19788 29682 44523 59364 89046 178092 657557 1315114 1972671 2630228 3945342 5918013 7890684 11178469 11836026 17754039 22356938 23672052 33535407 35508078 44713876 63783029 67070814 71016156 100606221 127566058 134141628 191349087 201212442 255132116 301818663 382698174 402424884 574047261 603637326 765396348 1084311493 1148094522 1207274652 1722141783 2168622986 2296189044 3252934479 3444283566 4337245972 6505868958 6888567132 9758803437 13011737916 19517606874 29276410311 39035213748 58552820622 117105641244