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136628027136 = 283259300359
BaseRepresentation
bin111111100111110101…
…0100011111100000000
3111001122211201220120100
41333033222203330000
54214303233332021
6142433244442400
712604525032426
oct1771752437400
9431584656510
10136628027136
1152a41a61007
1222590549400
13cb65100193
146881879116
153849ba3626
hex1fcfaa3f00

136628027136 has 54 divisors (see below), whose sum is σ = 393932291480. Its totient is φ = 45542674944.

The previous prime is 136628027119. The next prime is 136628027153. The reversal of 136628027136 is 631720826631.

136628027136 is a `hidden beast` number, since 1 + 3 + 6 + 628 + 0 + 2 + 7 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (136628027119) and next prime (136628027153).

It is a junction number, because it is equal to n+sod(n) for n = 136628027091 and 136628027100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29647876 + ... + 29652483.

Almost surely, 2136628027136 is an apocalyptic number.

136628027136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136628027136 is an abundant number, since it is smaller than the sum of its proper divisors (257304264344).

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

136628027136 is an equidigital number, since it uses as much as digits as its factorization.

136628027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59300381 (or 59300364 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 136628027136 in words is "one hundred thirty-six billion, six hundred twenty-eight million, twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 59300359 118600718 177901077 237201436 355802154 474402872 533703231 711604308 948805744 1067406462 1423208616 1897611488 2134812924 2846417232 3795222976 4269625848 5692834464 7590445952 8539251696 11385668928 15180891904 17078503392 22771337856 34157006784 45542675712 68314013568 136628027136