Search a number
-
+
125365231620 = 223256773157907
BaseRepresentation
bin111010011000001011…
…0011010000000000100
3102222120220210121122200
41310300112122000010
54023221444402440
6133331511554500
712025444613046
oct1646026320004
9388526717580
10125365231620
1149192450042
122036868ba30
13ba8b903035
1460d3b1ba96
1533db003c30
hex1d3059a004

125365231620 has 288 divisors, whose sum is σ = 394163323008. Its totient is φ = 32238176256.

The previous prime is 125365231619. The next prime is 125365231633. The reversal of 125365231620 is 26132563521.

125365231620 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 6 + 5 + 23 + 1 + 620 = 666.

It is a super-3 number, since 3×1253652316203 (a number of 34 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 138219207 + ... + 138220113.

Almost surely, 2125365231620 is an apocalyptic number.

125365231620 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 125365231620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197081661504).

125365231620 is an abundant number, since it is smaller than the sum of its proper divisors (268798091388).

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

125365231620 is a wasteful number, since it uses less digits than its factorization.

125365231620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 125365231620 in words is "one hundred twenty-five billion, three hundred sixty-five million, two hundred thirty-one thousand, six hundred twenty".