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55167684320 = 2557311588931
BaseRepresentation
bin110011011000010000…
…000000111011100000
312021101201201201211102
4303120100000323200
51400440411344240
641202122533532
73662051402540
oct633020007340
9167351651742
1055167684320
112143a7a0841
12a8376672a8
13528257c8b8
142954ba1320
15167d3c0815
hexcd8400ee0

55167684320 has 96 divisors (see below), whose sum is σ = 153757771776. Its totient is φ = 18304473600.

The previous prime is 55167684293. The next prime is 55167684331. The reversal of 55167684320 is 2348676155.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 759746 + ... + 829185.

It is an arithmetic number, because the mean of its divisors is an integer number (1601643456).

Almost surely, 255167684320 is an apocalyptic number.

It is an amenable number.

55167684320 is an abundant number, since it is smaller than the sum of its proper divisors (98590087456).

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

55167684320 is a wasteful number, since it uses less digits than its factorization.

55167684320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588984 (or 1588976 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 55167684320 in words is "fifty-five billion, one hundred sixty-seven million, six hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 1588931 3177862 6355724 7944655 11122517 12711448 15889310 22245034 25422896 31778620 44490068 49256861 50845792 55612585 63557240 88980136 98513722 111225170 127114480 177960272 197027444 222450340 246284305 254228960 344798027 355920544 394054888 444900680 492568610 689596054 788109776 889801360 985137220 1379192108 1576219552 1723990135 1779602720 1970274440 2758384216 3447980270 3940548880 5516768432 6895960540 7881097760 11033536864 13791921080 27583842160 55167684320