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125346044376 = 233371712174007
BaseRepresentation
bin111010010111100110…
…1001101100111011000
3102222112120200210201000
41310233031031213120
54023202041410001
6133325544425000
712025122540420
oct1645715154730
9388476623630
10125346044376
1149182635413
1220362178160
13ba87945837
1460d1365480
1533d94b3a86
hex1d2f34d9d8

125346044376 has 256 divisors, whose sum is σ = 421782681600. Its totient is φ = 33670397952.

The previous prime is 125346044333. The next prime is 125346044387. The reversal of 125346044376 is 673440643521.

125346044376 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 604 + 4 + 37 + 6 = 666.

It is a super-2 number, since 2×1253460443762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 31279765 + ... + 31283771.

It is an arithmetic number, because the mean of its divisors is an integer number (1647588600).

Almost surely, 2125346044376 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 125346044376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210891340800).

125346044376 is an abundant number, since it is smaller than the sum of its proper divisors (296436637224).

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

125346044376 is a wasteful number, since it uses less digits than its factorization.

125346044376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 125346044376 its reverse (673440643521), we get a palindrome (798786687897).

The spelling of 125346044376 in words is "one hundred twenty-five billion, three hundred forty-six million, forty-four thousand, three hundred seventy-six".