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55090368576 = 2632467204803
BaseRepresentation
bin110011010011101001…
…000101000001000000
312021012100020200120100
4303103221011001000
51400311113243301
641150321442400
73660122256315
oct632351050100
9167170220510
1055090368576
1121400093331
12a8157a0400
13526c54c239
1429487d6d0c
1516766ec286
hexcd3a45040

55090368576 has 84 divisors (see below), whose sum is σ = 158245497072. Its totient is φ = 18324044544.

The previous prime is 55090368527. The next prime is 55090368583. The reversal of 55090368576 is 67586309055.

55090368576 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 0 + 3 + 68 + 576 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166591 + ... + 371393.

Almost surely, 255090368576 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 55090368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79122748536).

55090368576 is an abundant number, since it is smaller than the sum of its proper divisors (103155128496).

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

55090368576 is a wasteful number, since it uses less digits than its factorization.

55090368576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205288 (or 205275 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 55090368576 in words is "fifty-five billion, ninety million, three hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 467 576 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 14944 16812 22416 29888 33624 44832 67248 89664 134496 204803 268992 409606 614409 819212 1228818 1638424 1843227 2457636 3276848 3686454 4915272 6553696 7372908 9830544 13107392 14745816 19661088 29491632 39322176 58983264 95643001 117966528 191286002 286929003 382572004 573858006 765144008 860787009 1147716012 1530288016 1721574018 2295432024 3060576032 3443148036 4590864048 6121152064 6886296072 9181728096 13772592144 18363456192 27545184288 55090368576