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149655557726640 = 243357127733110631
BaseRepresentation
bin100010000001110001100110…
…010110110110000110110000
3201121212221011010120100202000
4202001301212112312012300
5124103424040234223030
61250142451502454000
743344154142554650
oct4201614626660660
9647787133510660
10149655557726640
1143759624908229
12149502bb594300
1365675c6543544
1428d5520b4a360
151247d4029e860
hex881c665b61b0

149655557726640 has 640 divisors, whose sum is σ = 593895885373440. Its totient is φ = 33929817062400.

The previous prime is 149655557726603. The next prime is 149655557726777. The reversal of 149655557726640 is 46627755556941.

149655557726640 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 5 + 5 + 5 + 577 + 2 + 6 + 6 + 40 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14077274125 + ... + 14077284755.

It is an arithmetic number, because the mean of its divisors is an integer number (927962320896).

Almost surely, 2149655557726640 is an apocalyptic number.

149655557726640 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 149655557726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296947942686720).

149655557726640 is an abundant number, since it is smaller than the sum of its proper divisors (444240327646800).

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

149655557726640 is a wasteful number, since it uses less digits than its factorization.

149655557726640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18118 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 1905120000, while the sum is 72.

The spelling of 149655557726640 in words is "one hundred forty-nine trillion, six hundred fifty-five billion, five hundred fifty-seven million, seven hundred twenty-six thousand, six hundred forty".