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137943723960 = 233257211369203
BaseRepresentation
bin1000000001111000010…
…1100010111110111000
3111012001112110020022100
42000132011202332320
54230002043131320
6143212004423400
712652242210300
oct2003605427670
9435045406270
10137943723960
11535576aa559
12228990a7b60
1310014872a03
1469684c4600
1538c5444790
hex201e162fb8

137943723960 has 288 divisors, whose sum is σ = 526134482640. Its totient is φ = 31250515968.

The previous prime is 137943723947. The next prime is 137943723977. The reversal of 137943723960 is 69327349731.

137943723960 is a `hidden beast` number, since 1 + 379 + 4 + 37 + 239 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137943723897 and 137943723906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1958719 + ... + 2027921.

Almost surely, 2137943723960 is an apocalyptic number.

137943723960 is a gapful number since it is divisible by the number (10) 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 137943723960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263067241320).

137943723960 is an abundant number, since it is smaller than the sum of its proper divisors (388190758680).

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

137943723960 is a wasteful number, since it uses less digits than its factorization.

137943723960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69347 (or 69333 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 137943723960 in words is "one hundred thirty-seven billion, nine hundred forty-three million, seven hundred twenty-three thousand, nine hundred sixty".