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155793421440 = 27335193115307
BaseRepresentation
bin1001000100011000000…
…0101111010010000000
3112220010111210211001000
42101012000233102000
510023031103441230
6155323121412000
714153464142526
oct2210600572200
9486114724030
10155793421440
1160087363458
122623aa9a000
13118ca8c9797
14777cd88316
1540bc50db60
hex244602f480

155793421440 has 512 divisors, whose sum is σ = 599583744000. Its totient is φ = 38086225920.

The previous prime is 155793421397. The next prime is 155793421447. The reversal of 155793421440 is 44124397551.

155793421440 is a `hidden beast` number, since 1 + 5 + 579 + 34 + 2 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (155793421447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10170267 + ... + 10185573.

It is an arithmetic number, because the mean of its divisors is an integer number (1171062000).

Almost surely, 2155793421440 is an apocalyptic number.

155793421440 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 155793421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299791872000).

155793421440 is an abundant number, since it is smaller than the sum of its proper divisors (443790322560).

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

155793421440 is a wasteful number, since it uses less digits than its factorization.

155793421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15385 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 155793421440 in words is "one hundred fifty-five billion, seven hundred ninety-three million, four hundred twenty-one thousand, four hundred forty".