Search a number
-
+
55921624560 = 24335170915149
BaseRepresentation
bin110100000101001100…
…000100010111110000
312100100021101212102000
4310011030010113300
51404011413441220
641405014254000
74016534652204
oct640514042760
9170307355360
1055921624560
112179733224a
12aa08057300
135372826999
1429c6d7ab04
1516c469a390
hexd053045f0

55921624560 has 160 divisors (see below), whose sum is σ = 192744360000. Its totient is φ = 14902723584.

The previous prime is 55921624547. The next prime is 55921624601. The reversal of 55921624560 is 6542612955.

55921624560 is a `hidden beast` number, since 5 + 5 + 9 + 21 + 62 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3683866 + ... + 3699014.

It is an arithmetic number, because the mean of its divisors is an integer number (1204652250).

Almost surely, 255921624560 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 55921624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96372180000).

55921624560 is an abundant number, since it is smaller than the sum of its proper divisors (136822735440).

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

55921624560 is a wasteful number, since it uses less digits than its factorization.

55921624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16880 (or 16868 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55921624560 in words is "fifty-five billion, nine hundred twenty-one million, six hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1709 2160 3418 5127 6836 8545 10254 13672 15149 15381 17090 20508 25635 27344 30298 30762 34180 41016 45447 46143 51270 60596 61524 68360 75745 76905 82032 90894 92286 102540 121192 123048 136341 136720 151490 153810 181788 184572 205080 227235 230715 242384 246096 272682 302980 307620 363576 369144 409023 410160 454470 461430 545364 605960 615240 681705 727152 738288 818046 908940 922860 1090728 1211920 1230480 1363410 1636092 1817880 1845720 2045115 2181456 2726820 3272184 3635760 3691440 4090230 5453640 6544368 8180460 10907280 16360920 25889641 32721840 51779282 77668923 103558564 129448205 155337846 207117128 233006769 258896410 310675692 388344615 414234256 466013538 517792820 621351384 699020307 776689230 932027076 1035585640 1165033845 1242702768 1398040614 1553378460 1864054152 2071171280 2330067690 2796081228 3106756920 3495101535 3728108304 4660135380 5592162456 6213513840 6990203070 9320270760 11184324912 13980406140 18640541520 27960812280 55921624560