Search a number
-
+
54487469730096 = 24331334019285199
BaseRepresentation
bin11000110001110010110100…
…10001110010100100110000
321010220221200110011000102000
430120321122101302210300
524120210314222330341
6311515110435254000
714322406202651514
oct1430713221624460
9233827613130360
1054487469730096
11163a80081a4997
12614005344a300
1324531b96b1a90
14d652c9958144
156475266858b6
hex318e5a472930

54487469730096 has 160 divisors (see below), whose sum is σ = 168435469440000. Its totient is φ = 16764823694592.

The previous prime is 54487469730061. The next prime is 54487469730101. The reversal of 54487469730096 is 69003796478445.

It is a happy number.

54487469730096 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 7 + 469 + 73 + 0 + 0 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 190908105 + ... + 191193303.

It is an arithmetic number, because the mean of its divisors is an integer number (1052721684000).

Almost surely, 254487469730096 is an apocalyptic number.

It is an amenable number.

54487469730096 is an abundant number, since it is smaller than the sum of its proper divisors (113947999709904).

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

54487469730096 is a wasteful number, since it uses less digits than its factorization.

54487469730096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319248 (or 319236 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 54487469730096 in words is "fifty-four trillion, four hundred eighty-seven billion, four hundred sixty-nine million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 34019 68038 102057 136076 204114 272152 285199 306171 408228 442247 544304 570398 612342 816456 855597 884494 918513 1140796 1224684 1326741 1632912 1711194 1768988 1837026 2281592 2449368 2566791 2653482 3422388 3537976 3674052 3707587 3980223 4563184 4898736 5133582 5306964 6844776 7075952 7348104 7415174 7700373 7960446 10267164 10613928 11122761 11940669 13689552 14696208 14830348 15400746 15920892 20534328 21227856 22245522 23881338 29660696 30801492 31841784 33368283 41068656 44491044 47762676 59321392 61602984 63683568 66736566 88982088 95525352 100104849 123205968 133473132 177964176 191050704 200209698 266946264 400419396 533892528 800838792 1601677584 9702184781 19404369562 29106554343 38808739124 58213108686 77617478248 87319663029 116426217372 126128402153 155234956496 174639326058 232852434744 252256804306 261958989087 349278652116 378385206459 465704869488 504513608612 523917978174 698557304232 756770412918 1009027217224 1047835956348 1135155619377 1397114608464 1513540825836 2018054434448 2095671912696 2270311238754 3027081651672 3405466858131 4191343825392 4540622477508 6054163303344 6810933716262 9081244955016 13621867432524 18162489910032 27243734865048 54487469730096