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55942372224 = 273342138449
BaseRepresentation
bin110100000110011011…
…001101101110000000
312100101201102221212000
4310012123031232000
51404032221402344
641411035104000
74020206214054
oct640633155600
9170351387760
1055942372224
11217a8013282
12aa12ba2000
135376c0c4cb
1429c9a1bc64
1516c63e7a69
hexd066cdb80

55942372224 has 128 divisors (see below), whose sum is σ = 165504180000. Its totient is φ = 18602680320.

The previous prime is 55942372177. The next prime is 55942372229. The reversal of 55942372224 is 42227324955.

55942372224 is a `hidden beast` number, since 5 + 59 + 4 + 2 + 372 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 55942372224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55942372229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435752 + ... + 1474200.

Almost surely, 255942372224 is an apocalyptic number.

55942372224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55942372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82752090000).

55942372224 is an abundant number, since it is smaller than the sum of its proper divisors (109561807776).

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

55942372224 is a wasteful number, since it uses less digits than its factorization.

55942372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38893 (or 38875 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 55942372224 in words is "fifty-five billion, nine hundred forty-two million, three hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 421 432 576 842 864 1152 1263 1684 1728 2526 3368 3456 3789 5052 6736 7578 10104 11367 13472 15156 20208 22734 26944 30312 38449 40416 45468 53888 60624 76898 80832 90936 115347 121248 153796 161664 181872 230694 242496 307592 346041 363744 461388 484992 615184 692082 727488 922776 1038123 1230368 1384164 1454976 1845552 2076246 2460736 2768328 3691104 4152492 4921472 5536656 7382208 8304984 11073312 14764416 16187029 16609968 22146624 32374058 33219936 44293248 48561087 64748116 66439872 97122174 129496232 132879744 145683261 194244348 258992464 291366522 388488696 437049783 517984928 582733044 776977392 874099566 1035969856 1165466088 1553954784 1748199132 2071939712 2330932176 3107909568 3496398264 4661864352 6215819136 6992796528 9323728704 13985593056 18647457408 27971186112 55942372224