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136166908864 = 26710915717761
BaseRepresentation
bin111111011010000101…
…1100010001111000000
3111000110201001200012211
41332310023202033000
54212332212040424
6142315413231504
712560225425330
oct1766413421700
9430421050184
10136166908864
1152825741028
1222482032594
13cac070c92c
14683a5250c0
15381e46ab94
hex1fb42e23c0

136166908864 has 112 divisors (see below), whose sum is σ = 313642816960. Its totient is φ = 57450332160.

The previous prime is 136166908859. The next prime is 136166908957. The reversal of 136166908864 is 468809661631.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 136166908799 and 136166908808.

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, 7657744 + ... + 7675504.

Almost surely, 2136166908864 is an apocalyptic number.

136166908864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136166908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156821408480).

136166908864 is an abundant number, since it is smaller than the sum of its proper divisors (177475908096).

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

136166908864 is a wasteful number, since it uses less digits than its factorization.

136166908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18046 (or 18036 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 136166908864 in words is "one hundred thirty-six billion, one hundred sixty-six million, nine hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 157 218 224 314 436 448 628 763 872 1099 1256 1526 1744 2198 2512 3052 3488 4396 5024 6104 6976 8792 10048 12208 17113 17584 17761 24416 34226 35168 35522 48832 68452 70336 71044 119791 124327 136904 142088 239582 248654 273808 284176 479164 497308 547616 568352 958328 994616 1095232 1136704 1916656 1935949 1989232 2788477 3833312 3871898 3978464 5576954 7666624 7743796 7956928 11153908 13551643 15487592 19519339 22307816 27103286 30975184 39038678 44615632 54206572 61950368 78077356 89231264 108413144 123900736 156154712 178462528 216826288 303943993 312309424 433652576 607887986 624618848 867305152 1215775972 1249237696 2127607951 2431551944 4255215902 4863103888 8510431804 9726207776 17020863608 19452415552 34041727216 68083454432 136166908864