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155341105920 = 283257111319709
BaseRepresentation
bin1001000010101100001…
…1010010101100000000
3112211221222200210210100
42100223003102230000
510021114310342140
6155210203002400
714136332420430
oct2205303225400
9484858623710
10155341105920
115a975006080
1226133509400
1311857c9bb70
147738c862c0
154092964530
hex242b0d2b00

155341105920 has 1728 divisors, whose sum is σ = 760681958400. Its totient is φ = 28187688960.

The previous prime is 155341105889. The next prime is 155341105961. The reversal of 155341105920 is 29501143551.

It is a happy number.

155341105920 is a `hidden beast` number, since 1 + 5 + 53 + 4 + 1 + 10 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219098526 + ... + 219099234.

Almost surely, 2155341105920 is an apocalyptic number.

155341105920 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 155341105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380340979200).

155341105920 is an abundant number, since it is smaller than the sum of its proper divisors (605340852480).

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

155341105920 is a wasteful number, since it uses less digits than its factorization.

155341105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 155341105920 in words is "one hundred fifty-five billion, three hundred forty-one million, one hundred five thousand, nine hundred twenty".