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125930018088 = 233373113120509
BaseRepresentation
bin111010101001000000…
…0111001010100101000
3110001001021112202001000
41311102000321110220
54030401041034323
6133503525155000
712045443330610
oct1652200712450
9401037482030
10125930018088
1149452237516
12204a585ba60
13bb4b91c904
146148b39a40
1534208b7e43
hex1d52039528

125930018088 has 256 divisors, whose sum is σ = 415844352000. Its totient is φ = 34551878400.

The previous prime is 125930018077. The next prime is 125930018101. The reversal of 125930018088 is 880810039521.

It is a happy number.

125930018088 is a `hidden beast` number, since 1 + 259 + 300 + 18 + 0 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6129978 + ... + 6150486.

It is an arithmetic number, because the mean of its divisors is an integer number (1624392000).

Almost surely, 2125930018088 is an apocalyptic number.

125930018088 is a gapful number since it is divisible by the number (18) 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 125930018088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207922176000).

125930018088 is an abundant number, since it is smaller than the sum of its proper divisors (289914333912).

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

125930018088 is a wasteful number, since it uses less digits than its factorization.

125930018088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20693 (or 20683 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 125930018088 in words is "one hundred twenty-five billion, nine hundred thirty million, eighteen thousand, eighty-eight".