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137369766870 = 23257219286287
BaseRepresentation
bin111111111101111100…
…0000100101111010110
3111010120112110012012100
41333323320010233112
54222313130014440
6143035022502530
712632102516100
oct1777370045726
9433515405170
10137369766870
115329271a056
1222758a34a46
13cc52994c2b
14691219a570
15388ed6d230
hex1ffbe04bd6

137369766870 has 216 divisors, whose sum is σ = 438496460064. Its totient is φ = 29745890496.

The previous prime is 137369766869. The next prime is 137369766887. The reversal of 137369766870 is 78667963731.

137369766870 is a `hidden beast` number, since 137 + 369 + 7 + 66 + 87 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137369766798 and 137369766807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1548867 + ... + 1635153.

It is an arithmetic number, because the mean of its divisors is an integer number (2030076204).

Almost surely, 2137369766870 is an apocalyptic number.

137369766870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137369766870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219248230032).

137369766870 is an abundant number, since it is smaller than the sum of its proper divisors (301126693194).

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

137369766870 is a wasteful number, since it uses less digits than its factorization.

137369766870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86352 (or 86323 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 137369766870 in words is "one hundred thirty-seven billion, three hundred sixty-nine million, seven hundred sixty-six thousand, eight hundred seventy".