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54405143208 = 23331353365567
BaseRepresentation
bin110010101010110011…
…001001101010101000
312012102120212122002000
4302222303021222220
51342410204040313
640554323011000
73634132041603
oct625263115250
9165376778060
1054405143208
1121089315379
12a664209a60
1351905b3a40
1428c17c733a
151636497673
hexcaacc9aa8

54405143208 has 128 divisors (see below), whose sum is σ = 165821644800. Its totient is φ = 16424149248.

The previous prime is 54405143183. The next prime is 54405143239. The reversal of 54405143208 is 80234150445.

It is a happy number.

54405143208 is a `hidden beast` number, since 5 + 4 + 405 + 1 + 43 + 208 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33960 + ... + 331607.

It is an arithmetic number, because the mean of its divisors is an integer number (1295481600).

Almost surely, 254405143208 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 54405143208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82910822400).

54405143208 is an abundant number, since it is smaller than the sum of its proper divisors (111416501592).

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

54405143208 is a wasteful number, since it uses less digits than its factorization.

54405143208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365648 (or 365638 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54405143208 in words is "fifty-four billion, four hundred five million, one hundred forty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 234 312 318 351 424 468 477 636 689 702 936 954 1272 1378 1404 1431 1908 2067 2756 2808 2862 3816 4134 5512 5724 6201 8268 11448 12402 16536 18603 24804 37206 49608 74412 148824 365567 731134 1096701 1462268 2193402 2924536 3290103 4386804 4752371 6580206 8773608 9504742 9870309 13160412 14257113 19009484 19375051 19740618 26320824 28514226 38018968 38750102 39481236 42771339 57028452 58125153 77500204 78962472 85542678 114056904 116250306 128314017 155000408 171085356 174375459 232500612 251875663 256628034 342170712 348750918 465001224 503751326 513256068 523126377 697501836 755626989 1007502652 1026512136 1046252754 1395003672 1511253978 2015005304 2092505508 2266880967 3022507956 4185011016 4533761934 6045015912 6800642901 9067523868 13601285802 18135047736 27202571604 54405143208