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125349832476 = 22361119892311
BaseRepresentation
bin111010010111101101…
…1101010011100011100
3102222112211211021000000
41310233123222130130
54023204024114401
6133330201534300
712025166665431
oct1645733523434
9388484737000
10125349832476
1149184792480
12203634a4390
13ba88670b0b
1460d1a6db88
1533d99b1186
hex1d2f6ea71c

125349832476 has 336 divisors, whose sum is σ = 382084819200. Its totient is φ = 35565868800.

The previous prime is 125349832423. The next prime is 125349832481. The reversal of 125349832476 is 674238943521.

125349832476 is a `hidden beast` number, since 1 + 2 + 53 + 4 + 98 + 32 + 476 = 666.

125349832476 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1253498324762 (a number of 23 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 54239361 + ... + 54241671.

It is an arithmetic number, because the mean of its divisors is an integer number (1137157200).

Almost surely, 2125349832476 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 125349832476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191042409600).

125349832476 is an abundant number, since it is smaller than the sum of its proper divisors (256734986724).

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

125349832476 is a wasteful number, since it uses less digits than its factorization.

125349832476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2435 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 125349832476 in words is "one hundred twenty-five billion, three hundred forty-nine million, eight hundred thirty-two thousand, four hundred seventy-six".