Search a number
-
+
103665992640192 = 263443465053441
BaseRepresentation
bin10111100100100010011110…
…101010101010011011000000
3111121001101001021020022220000
4113210202132222222123000
5102041430423103441232
61004251255523520000
730556422636345303
oct2744423652523300
9447041037208800
10103665992640192
1130038556307804
12b7631b7229000
1345ac879750368
141b85664696b3a
15beb8cc76627c
hex5e489eaaa6c0

103665992640192 has 140 divisors (see below), whose sum is σ = 314444954701416. Its totient is φ = 33751718461440.

The previous prime is 103665992640191. The next prime is 103665992640209. The reversal of 103665992640192 is 291046299566301.

103665992640192 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 6 + 59 + 92 + 6 + 401 + 92 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (103665992640191) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232303809 + ... + 232749632.

Almost surely, 2103665992640192 is an apocalyptic number.

103665992640192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103665992640192 is an abundant number, since it is smaller than the sum of its proper divisors (210778962061224).

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

103665992640192 is an equidigital number, since it uses as much as digits as its factorization.

103665992640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465053508 (or 465053489 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 103665992640192 in words is "one hundred three trillion, six hundred sixty-five billion, nine hundred ninety-two million, six hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 258 288 324 344 387 432 516 576 648 688 774 864 1032 1161 1296 1376 1548 1728 2064 2322 2592 2752 3096 3483 4128 4644 5184 6192 6966 8256 9288 12384 13932 18576 24768 27864 37152 55728 74304 111456 222912 465053441 930106882 1395160323 1860213764 2790320646 3720427528 4185480969 5580641292 7440855056 8370961938 11161282584 12556442907 14881710112 16741923876 19997297963 22322565168 25112885814 29763420224 33483847752 37669328721 39994595926 44645130336 50225771628 59991893889 66967695504 75338657442 79989191852 89290260672 100451543256 119983787778 133935391008 150677314884 159978383704 179975681667 200903086512 239967575556 267870782016 301354629768 319956767408 359951363334 401806173024 479935151112 539927045001 602709259536 639913534816 719902726668 803612346048 959870302224 1079854090002 1205418519072 1279827069632 1439805453336 1619781135003 1919740604448 2159708180004 2410837038144 2879610906672 3239562270006 3839481208896 4319416360008 5759221813344 6479124540012 8638832720016 11518443626688 12958249080024 17277665440032 25916498160048 34555330880064 51832996320096 103665992640192