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136801468872 = 23324146341961
BaseRepresentation
bin111111101101000000…
…0001100000111001000
3111002002221002122220100
41333122000030013020
54220132134000442
6142502402125400
712612032204445
oct1773200140710
9432087078810
10136801468872
1153020954392
122261a650860
13cb92018c23
14689a9069cc
15385a01384c
hex1fda00c1c8

136801468872 has 48 divisors (see below), whose sum is σ = 379540668780. Its totient is φ = 44488281600.

The previous prime is 136801468847. The next prime is 136801468901. The reversal of 136801468872 is 278864108631.

136801468872 is a `hidden beast` number, since 1 + 36 + 80 + 1 + 468 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136732811076 + 68657796 = 369774^2 + 8286^2 .

It is a super-3 number, since 3×1368014688723 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23168029 + ... + 23173932.

Almost surely, 2136801468872 is an apocalyptic number.

136801468872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136801468872 is an abundant number, since it is smaller than the sum of its proper divisors (242739199908).

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

136801468872 is a wasteful number, since it uses less digits than its factorization.

136801468872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46342014 (or 46342007 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 136801468872 in words is "one hundred thirty-six billion, eight hundred one million, four hundred sixty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 46341961 92683922 139025883 185367844 278051766 370735688 417077649 556103532 834155298 1112207064 1668310596 1900020401 3336621192 3800040802 5700061203 7600081604 11400122406 15200163208 17100183609 22800244812 34200367218 45600489624 68400734436 136801468872