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125674713400 = 2352172193317
BaseRepresentation
bin111010100001011001…
…0111111000100111000
3110000101111010220211211
41311002302333010320
54024340211312100
6133422325132504
712036223303225
oct1650262770470
9400344126754
10125674713400
1149331110305
122043425a134
13bb0aa70852
146122c7c94c
1534082871ba
hex1d42cbf138

125674713400 has 288 divisors, whose sum is σ = 328667691600. Its totient is φ = 44681287680.

The previous prime is 125674713391. The next prime is 125674713407. The reversal of 125674713400 is 4317476521.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125674713407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 396450042 + ... + 396450358.

Almost surely, 2125674713400 is an apocalyptic number.

125674713400 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 125674713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164333845800).

125674713400 is an abundant number, since it is smaller than the sum of its proper divisors (202992978200).

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

125674713400 is a wasteful number, since it uses less digits than its factorization.

125674713400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 125674713400 in words is "one hundred twenty-five billion, six hundred seventy-four million, seven hundred thirteen thousand, four hundred".