Search a number
-
+
102296917232748 = 22357103145969129
BaseRepresentation
bin10111010000100111011011…
…011010011100110001101100
3111102012111020001022121100000
4113100213123122130301230
5101402013041302421443
61001322315514304300
730355464654400230
oct2720473332346154
9442174201277300
10102296917232748
112a65a9739a2627
12b5819b2728090
134510733935884
141b392a92145c0
15bc5e9e4b88d3
hex5d09db69cc6c

102296917232748 has 144 divisors (see below), whose sum is σ = 309445213575680. Its totient is φ = 28943926452864.

The previous prime is 102296917232729. The next prime is 102296917232749. The reversal of 102296917232748 is 847232719692201.

102296917232748 is a `hidden beast` number, since 1 + 0 + 2 + 296 + 9 + 1 + 72 + 3 + 274 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (102296917232749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72283753 + ... + 73685376.

Almost surely, 2102296917232748 is an apocalyptic number.

102296917232748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102296917232748 is an abundant number, since it is smaller than the sum of its proper divisors (207148296342932).

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

102296917232748 is a wasteful number, since it uses less digits than its factorization.

102296917232748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145969258 (or 145969244 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 102296917232748 in words is "one hundred two trillion, two hundred ninety-six billion, nine hundred seventeen million, two hundred thirty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 103 108 126 162 189 206 243 252 309 324 378 412 486 567 618 721 756 927 972 1134 1236 1442 1701 1854 2163 2268 2781 2884 3402 3708 4326 5562 6489 6804 8343 8652 11124 12978 16686 19467 25029 25956 33372 38934 50058 58401 77868 100116 116802 175203 233604 350406 700812 145969129 291938258 437907387 583876516 875814774 1021783903 1313722161 1751629548 2043567806 2627444322 3065351709 3941166483 4087135612 5254888644 6130703418 7882332966 9196055127 11823499449 12261406836 15034820287 15764665932 18392110254 23646998898 27588165381 30069640574 35470498347 36784220508 45104460861 47293997796 55176330762 60139281148 70940996694 82764496143 90208921722 105243742009 110352661524 135313382583 141881993388 165528992286 180417843444 210487484018 248293488429 270626765166 315731226027 331057984572 405940147749 420974968036 496586976858 541253530332 631462452054 811880295498 947193678081 993173953716 1217820443247 1262924904108 1623760590996 1894387356162 2435640886494 2841581034243 3653461329741 3788774712324 4871281772988 5683162068486 7306922659482 8524743102729 11366324136972 14613845318964 17049486205458 25574229308187 34098972410916 51148458616374 102296917232748