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125424889344 = 29354312339
BaseRepresentation
bin111010011001111100…
…1111110111000000000
3102222202002001112200000
41310303321332320000
54023332232424334
6133341442400000
712030100653216
oct1646371767000
9388662045600
10125424889344
1149213097847
1220384660000
13ba9b090271
1460dba0acb6
1533e138a299
hex1d33e7ee00

125424889344 has 240 divisors, whose sum is σ = 376423407360. Its totient is φ = 41693460480.

The previous prime is 125424889321. The next prime is 125424889351. The reversal of 125424889344 is 443988424521.

125424889344 is a `hidden beast` number, since 1 + 2 + 54 + 248 + 8 + 9 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53622127 + ... + 53624465.

It is an arithmetic number, because the mean of its divisors is an integer number (1568430864).

Almost surely, 2125424889344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125424889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188211703680).

125424889344 is an abundant number, since it is smaller than the sum of its proper divisors (250998518016).

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

125424889344 is an frugal number, since it uses more digits than its factorization.

125424889344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2775 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 125424889344 in words is "one hundred twenty-five billion, four hundred twenty-four million, eight hundred eighty-nine thousand, three hundred forty-four".