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136843766931456 = 213351310335119
BaseRepresentation
bin11111000111010101101100…
…000111100010000000000000
3122221112010200101220001200000
4133013111230013202000000
5120414022013313301311
61203013054134400000
740552431053616144
oct3707255407420000
9587463611801600
10136843766931456
113a66a12aa17802
12134212a4800000
135b484091a0710
1425b13b8cc5224
1510c4948d93056
hex7c756c1e2000

136843766931456 has 672 divisors, whose sum is σ = 441990922813440. Its totient is φ = 42056796340224.

The previous prime is 136843766931407. The next prime is 136843766931493. The reversal of 136843766931456 is 654139667348631.

136843766931456 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 43 + 76 + 69 + 3 + 1 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 26732516865 + ... + 26732521983.

It is an arithmetic number, because the mean of its divisors is an integer number (657724587520).

Almost surely, 2136843766931456 is an apocalyptic number.

136843766931456 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 136843766931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220995461406720).

136843766931456 is an abundant number, since it is smaller than the sum of its proper divisors (305147155881984).

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

136843766931456 is an equidigital number, since it uses as much as digits as its factorization.

136843766931456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206 (or 6170 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 136843766931456 in words is "one hundred thirty-six trillion, eight hundred forty-three billion, seven hundred sixty-six million, nine hundred thirty-one thousand, four hundred fifty-six".