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136061264088 = 23322399778093
BaseRepresentation
bin111111010110111100…
…0100010000011011000
3111000012100021100211100
41332231320202003120
54212123140422323
6142301121031400
712554503443141
oct1765570420330
9430170240740
10136061264088
11527810445a2
1222452785560
13caa4870a29
14682a4a4ac8
15381504d943
hex1fade220d8

136061264088 has 96 divisors (see below), whose sum is σ = 370465617600. Its totient is φ = 45112187904.

The previous prime is 136061264069. The next prime is 136061264113. The reversal of 136061264088 is 880462160631.

136061264088 is a `hidden beast` number, since 13 + 606 + 1 + 26 + 4 + 0 + 8 + 8 = 666.

It is a super-4 number, since 4×1360612640884 (a number of 46 digits) contains 4444 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 23 ways as a sum of consecutive naturals, for example, 16808170 + ... + 16816262.

It is an arithmetic number, because the mean of its divisors is an integer number (3859016850).

Almost surely, 2136061264088 is an apocalyptic number.

136061264088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136061264088 is an abundant number, since it is smaller than the sum of its proper divisors (234404353512).

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

136061264088 is a wasteful number, since it uses less digits than its factorization.

136061264088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 136061264088 in words is "one hundred thirty-six billion, sixty-one million, two hundred sixty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 239 478 717 956 977 1434 1912 1954 2151 2868 2931 3908 4302 5736 5862 7816 8093 8604 8793 11724 16186 17208 17586 23448 24279 32372 35172 48558 64744 70344 72837 97116 145674 194232 233503 291348 467006 582696 700509 934012 1401018 1868024 1934227 2101527 2802036 3868454 4203054 5604072 5802681 7736908 7906861 8406108 11605362 15473816 15813722 16812216 17408043 23210724 23720583 31627444 34816086 46421448 47441166 63254888 69632172 71161749 94882332 139264344 142323498 189764664 284646996 569293992 1889739779 3779479558 5669219337 7558959116 11338438674 15117918232 17007658011 22676877348 34015316022 45353754696 68030632044 136061264088