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120223268604 = 22344116754193
BaseRepresentation
bin110111111110111011…
…1010111111011111100
3102111022120021211110000
41233331313113323330
53432204124043404
6131121345514300
711454146631165
oct1577567277374
9374276254400
10120223268604
1146a939a012a
121b372642990
13b44c52a77a
145b66c6476c
1531d98a9339
hex1bfddd7efc

120223268604 has 120 divisors (see below), whose sum is σ = 323886755808. Its totient is φ = 38862167040.

The previous prime is 120223268591. The next prime is 120223268629. The reversal of 120223268604 is 406862322021.

120223268604 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 23 + 26 + 8 + 604 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2191332 + ... + 2245524.

Almost surely, 2120223268604 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 120223268604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161943377904).

120223268604 is an abundant number, since it is smaller than the sum of its proper divisors (203663487204).

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

120223268604 is a wasteful number, since it uses less digits than its factorization.

120223268604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54417 (or 54406 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 120223268604 in words is "one hundred twenty billion, two hundred twenty-three million, two hundred sixty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 167 246 324 334 369 492 501 668 738 1002 1107 1476 1503 2004 2214 3006 3321 4428 4509 6012 6642 6847 9018 13284 13527 13694 18036 20541 27054 27388 41082 54108 54193 61623 82164 108386 123246 162579 184869 216772 246492 325158 369738 487737 554607 650316 739476 975474 1109214 1463211 1950948 2218428 2221913 2926422 4389633 4443826 5852844 6665739 8779266 8887652 9050231 13331478 17558532 18100462 19997217 26662956 27150693 36200924 39994434 54301386 59991651 79988868 81452079 108602772 119983302 162904158 179974953 239966604 244356237 325808316 359949906 371059471 488712474 719899812 733068711 742118942 977424948 1113178413 1466137422 1484237884 2226356826 2932274844 3339535239 4452713652 6679070478 10018605717 13358140956 20037211434 30055817151 40074422868 60111634302 120223268604