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55808276256 = 25323113147717
BaseRepresentation
bin110011111110011011…
…101011011100100000
312100001101010011202200
4303332123223130200
51403243404320011
641345445013200
74013660343525
oct637633533440
9170041104680
1055808276256
1121739353a67
12a9960b4200
1353551bb595
1429b5cb314c
1516b975a856
hexcfe6eb720

55808276256 has 144 divisors (see below), whose sum is σ = 165078321408. Its totient is φ = 17864870400.

The previous prime is 55808276231. The next prime is 55808276257. The reversal of 55808276256 is 65267280855.

55808276256 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 8 + 2 + 7 + 625 + 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 2×558082762562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55808276257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145710 + ... + 1193426.

It is an arithmetic number, because the mean of its divisors is an integer number (1146377232).

Almost surely, 255808276256 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 55808276256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82539160704).

55808276256 is an abundant number, since it is smaller than the sum of its proper divisors (109270045152).

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

55808276256 is a wasteful number, since it uses less digits than its factorization.

55808276256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47895 (or 47884 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 55808276256 in words is "fifty-five billion, eight hundred eight million, two hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 131 144 186 248 262 279 288 372 393 496 524 558 744 786 992 1048 1116 1179 1488 1572 2096 2232 2358 2976 3144 4061 4192 4464 4716 6288 8122 8928 9432 12183 12576 16244 18864 24366 32488 36549 37728 47717 48732 64976 73098 95434 97464 129952 143151 146196 190868 194928 286302 292392 381736 389856 429453 572604 584784 763472 858906 1145208 1169568 1479227 1526944 1717812 2290416 2958454 3435624 4437681 4580832 5916908 6250927 6871248 8875362 11833816 12501854 13313043 13742496 17750724 18752781 23667632 25003708 26626086 35501448 37505562 47335264 50007416 53252172 56258343 71002896 75011124 100014832 106504344 112516686 142005792 150022248 193778737 200029664 213008688 225033372 300044496 387557474 426017376 450066744 581336211 600088992 775114948 900133488 1162672422 1550229896 1744008633 1800266976 2325344844 3100459792 3488017266 4650689688 6200919584 6976034532 9301379376 13952069064 18602758752 27904138128 55808276256