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136430871288516 = 22337225780587923
BaseRepresentation
bin11111000001010101001001…
…100111101001101011000100
3122220001122220222220011012000
4133001111021213221223010
5120340240411022213031
61202055251012025300
740510543113560400
oct3701251147515304
9586048828804160
10136430871288516
113a52000a107a62
1213375272902230
135b184b6c9b42c
14259940a1a0100
1510b8d302ad3e6
hex7c15499e9ac4

136430871288516 has 72 divisors (see below), whose sum is σ = 411458183267040. Its totient is φ = 38980248938064.

The previous prime is 136430871288499. The next prime is 136430871288563. The reversal of 136430871288516 is 615882178034631.

It is a happy number.

136430871288516 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 30 + 8 + 7 + 1 + 2 + 88 + 516 = 666.

It is a super-2 number, since 2×1364308712885162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12890288670 + ... + 12890299253.

It is an arithmetic number, because the mean of its divisors is an integer number (5714696989820).

Almost surely, 2136430871288516 is an apocalyptic number.

It is an amenable number.

136430871288516 is an abundant number, since it is smaller than the sum of its proper divisors (275027311978524).

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

136430871288516 is a wasteful number, since it uses less digits than its factorization.

136430871288516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25780587950 (or 25780587935 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 136430871288516 in words is "one hundred thirty-six trillion, four hundred thirty billion, eight hundred seventy-one million, two hundred eighty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 25780587923 51561175846 77341763769 103122351692 154683527538 180464115461 232025291307 309367055076 360928230922 464050582614 541392346383 696075873921 721856461844 928101165228 1082784692766 1263248808227 1392151747842 1624177039149 2165569385532 2526497616454 2784303495684 3248354078298 3789746424681 4872531117447 5052995232908 6496708156596 7579492849362 9745062234894 11369239274043 15158985698724 19490124469788 22738478548086 34107717822129 45476957096172 68215435644258 136430871288516