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136520136034416 = 24331279247082747
BaseRepresentation
bin11111000010101000010010…
…001101101000100001110000
3122220101012100000021002022000
4133002220102031220201300
5120343221214311100131
61202204252405214000
740520153144442111
oct3702502215504160
9586335300232260
10136520136034416
113a55495679a832
121338a625401300
135b23a416899c4
14259d877588208
1510bb306d01ce6
hex7c2a12368870

136520136034416 has 80 divisors (see below), whose sum is σ = 392169737625600. Its totient is φ = 45471131911872.

The previous prime is 136520136034397. The next prime is 136520136034439. The reversal of 136520136034416 is 614430631025631.

136520136034416 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 20 + 1 + 3 + 603 + 4 + 4 + 16 = 666.

It is a super-2 number, since 2×1365201360344162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122988846 + ... + 124093901.

It is an arithmetic number, because the mean of its divisors is an integer number (4902121720320).

Almost surely, 2136520136034416 is an apocalyptic number.

136520136034416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136520136034416 is an abundant number, since it is smaller than the sum of its proper divisors (255649601591184).

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

136520136034416 is a wasteful number, since it uses less digits than its factorization.

136520136034416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247084043 (or 247084031 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 136520136034416 in words is "one hundred thirty-six trillion, five hundred twenty billion, one hundred thirty-six million, thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1279 2558 3837 5116 7674 10232 11511 15348 20464 23022 30696 34533 46044 61392 69066 92088 138132 184176 276264 552528 247082747 494165494 741248241 988330988 1482496482 1976661976 2223744723 2964992964 3953323952 4447489446 5929985928 6671234169 8894978892 11859971856 13342468338 17789957784 26684936676 35579915568 53369873352 106739746704 316018833413 632037666826 948056500239 1264075333652 1896113000478 2528150667304 2844169500717 3792226000956 5056301334608 5688339001434 7584452001912 8532508502151 11376678002868 15168904003824 17065017004302 22753356005736 34130034008604 45506712011472 68260068017208 136520136034416