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55148214548736 = 28338399509677
BaseRepresentation
bin11001000101000001100011…
…01111001111100100000000
321020021010011220002120202000
430202200301233033210000
524212022020411024421
6313142423502024000
714421220111153251
oct1442406157174400
9236233156076660
1055148214548736
1116632254446841
126228115578000
1324a05ba19b74a
14d8928b574b28
156597e932d226
hex322831bcf900

55148214548736 has 144 divisors (see below), whose sum is σ = 163277367388800. Its totient is φ = 18360825956352.

The previous prime is 55148214548731. The next prime is 55148214548803. The reversal of 55148214548736 is 63784541284155.

55148214548736 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 8 + 2 + 14 + 548 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×551482145487362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55148214548731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044330 + ... + 10554006.

Almost surely, 255148214548736 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 55148214548736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81638683694400).

55148214548736 is an abundant number, since it is smaller than the sum of its proper divisors (108129152840064).

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

55148214548736 is an equidigital number, since it uses as much as digits as its factorization.

55148214548736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510541 (or 9510521 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 55148214548736 in words is "fifty-five trillion, one hundred forty-eight billion, two hundred fourteen million, five hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 839 864 1152 1678 1728 2304 2517 3356 3456 5034 6712 6912 7551 10068 13424 15102 20136 22653 26848 30204 40272 45306 53696 60408 80544 90612 107392 120816 161088 181224 214784 241632 322176 362448 483264 644352 724896 966528 1449792 1933056 2899584 5799168 9509677 19019354 28529031 38038708 57058062 76077416 85587093 114116124 152154832 171174186 228232248 256761279 304309664 342348372 456464496 513522558 608619328 684696744 912928992 1027045116 1217238656 1369393488 1825857984 2054090232 2434477312 2738786976 3651715968 4108180464 5477573952 7303431936 7978619003 8216360928 10955147904 15957238006 16432721856 21910295808 23935857009 31914476012 32865443712 47871714018 63828952024 65730887424 71807571027 95743428036 127657904048 143615142054 191486856072 215422713081 255315808096 287230284108 382973712144 430845426162 510631616192 574460568216 765947424288 861690852324 1021263232384 1148921136432 1531894848576 1723381704648 2042526464768 2297842272864 3063789697152 3446763409296 4595684545728 6127579394304 6893526818592 9191369091456 13787053637184 18382738182912 27574107274368 55148214548736