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136366656 = 26317411019
BaseRepresentation
bin10000010000011…
…00101001000000
3100111121010212220
420020030221000
5234402213111
621310451040
73244045266
oct1010145100
9314533786
10136366656
116aa80318
1239803a80
132233763a
141417a436
15be89e06
hex820ca40

136366656 has 112 divisors (see below), whose sum is σ = 391728960. Its totient is φ = 41697280.

The previous prime is 136366651. The next prime is 136366687. The reversal of 136366656 is 656663631.

It is not an unprimeable number, because it can be changed into a prime (136366651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133315 + ... + 134333.

It is an arithmetic number, because the mean of its divisors is an integer number (3497580).

Almost surely, 2136366656 is an apocalyptic number.

136366656 is a gapful number since it is divisible by the number (16) 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 136366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

136366656 is an abundant number, since it is smaller than the sum of its proper divisors (255362304).

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

136366656 is a wasteful number, since it uses less digits than its factorization.

136366656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its digits is 349920, while the sum is 42.

The square root of 136366656 is about 11677.6134548117. The cubic root of 136366656 is about 514.7180484495.

The spelling of 136366656 in words is "one hundred thirty-six million, three hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 246 272 328 408 492 544 656 697 816 984 1019 1088 1312 1394 1632 1968 2038 2091 2624 2788 3057 3264 3936 4076 4182 5576 6114 7872 8152 8364 11152 12228 16304 16728 17323 22304 24456 32608 33456 34646 41779 44608 48912 51969 65216 66912 69292 83558 97824 103938 125337 133824 138584 167116 195648 207876 250674 277168 334232 415752 501348 554336 668464 710243 831504 1002696 1108672 1336928 1420486 1663008 2005392 2130729 2673856 2840972 3326016 4010784 4261458 5681944 8021568 8522916 11363888 17045832 22727776 34091664 45455552 68183328 136366656