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55806412896 = 25321326955411
BaseRepresentation
bin110011111110010100…
…100100100001100000
312100001020121111201100
4303332110210201200
51403242420203041
641345341034400
74013635453143
oct637624444140
9170036544640
1055806412896
11217382a0aa3
12a995555a00
1353549b83c0
1429b594a05a
1516b94dd6b6
hexcfe524860

55806412896 has 144 divisors (see below), whose sum is σ = 171545577840. Its totient is φ = 17107061760.

The previous prime is 55806412891. The next prime is 55806412897. The reversal of 55806412896 is 69821460855.

55806412896 is a `hidden beast` number, since 558 + 0 + 6 + 4 + 1 + 2 + 89 + 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 2×558064128962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55806412891) 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, 979431 + ... + 1034841.

It is an arithmetic number, because the mean of its divisors is an integer number (1191288735).

Almost surely, 255806412896 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 55806412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85772788920).

55806412896 is an abundant number, since it is smaller than the sum of its proper divisors (115739164944).

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

55806412896 is a wasteful number, since it uses less digits than its factorization.

55806412896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55709 (or 55698 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 55806412896 in words is "fifty-five billion, eight hundred six million, four hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 269 288 312 416 468 538 624 807 936 1076 1248 1614 1872 2152 2421 3228 3497 3744 4304 4842 6456 6994 8608 9684 10491 12912 13988 19368 20982 25824 27976 31473 38736 41964 55411 55952 62946 77472 83928 110822 111904 125892 166233 167856 221644 251784 332466 335712 443288 498699 503568 664932 720343 886576 997398 1007136 1329864 1440686 1773152 1994796 2161029 2659728 2881372 3989592 4322058 5319456 5762744 6483087 7979184 8644116 11525488 12966174 14905559 15958368 17288232 23050976 25932348 29811118 34576464 44716677 51864696 59622236 69152928 89433354 103729392 119244472 134150031 178866708 193772267 207458784 238488944 268300062 357733416 387544534 476977888 536600124 581316801 715466832 775089068 1073200248 1162633602 1430933664 1550178136 1743950403 2146400496 2325267204 3100356272 3487900806 4292800992 4650534408 6200712544 6975801612 9301068816 13951603224 18602137632 27903206448 55806412896