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55934205696 = 283331261043
BaseRepresentation
bin110100000101111100…
…000011111100000000
312100101011002001111000
4310011330003330000
51404023124040241
641410144052000
74020046621665
oct640574037400
9170334061430
1055934205696
11217a3445686
12aa10304000
135375310345
1429c88d3a6c
1516c5832eb6
hexd05f03f00

55934205696 has 144 divisors (see below), whose sum is σ = 170743659520. Its totient is φ = 18043223040.

The previous prime is 55934205661. The next prime is 55934205703. The reversal of 55934205696 is 69650243955.

It is a happy number.

55934205696 is a `hidden beast` number, since 5 + 59 + 3 + 4 + 20 + 569 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83751 + ... + 344793.

Almost surely, 255934205696 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 55934205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85371829760).

55934205696 is an abundant number, since it is smaller than the sum of its proper divisors (114809453824).

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

55934205696 is a wasteful number, since it uses less digits than its factorization.

55934205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261099 (or 261079 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 55934205696 in words is "fifty-five billion, nine hundred thirty-four million, two hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5952 6696 6912 7936 8928 11904 13392 17856 23808 26784 35712 53568 71424 107136 214272 261043 522086 783129 1044172 1566258 2088344 2349387 3132516 4176688 4698774 6265032 7048161 8092333 8353376 9397548 12530064 14096322 16184666 16706752 18795096 24276999 25060128 28192644 32369332 33413504 37590192 48553998 50120256 56385288 64738664 66827008 72830997 75180384 97107996 100240512 112770576 129477328 145661994 150360768 194215992 200481024 218492991 225541152 258954656 291323988 300721536 388431984 436985982 451082304 517909312 582647976 601443072 776863968 873971964 902164608 1035818624 1165295952 1553727936 1747943928 1804329216 2071637248 2330591904 3107455872 3495887856 4661183808 6214911744 6991775712 9322367616 13983551424 18644735232 27967102848 55934205696