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125380470780 = 223355310614129
BaseRepresentation
bin111010011000101000…
…0100010011111111100
3102222121222110211212000
41310301100202133330
54023234400031110
6133333214342300
712026021263065
oct1646120423774
9388558424760
10125380470780
11491a0009494
12203717ba990
13ba91b0a4a6
1460d5b6756c
1533dc5141c0
hex1d314227fc

125380470780 has 192 divisors, whose sum is σ = 397903363200. Its totient is φ = 32765091840.

The previous prime is 125380470769. The next prime is 125380470811. The reversal of 125380470780 is 87074083521.

125380470780 is a `hidden beast` number, since 1 + 2 + 538 + 0 + 47 + 0 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30363756 + ... + 30367884.

It is an arithmetic number, because the mean of its divisors is an integer number (2072413350).

Almost surely, 2125380470780 is an apocalyptic number.

125380470780 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 125380470780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198951681600).

125380470780 is an abundant number, since it is smaller than the sum of its proper divisors (272522892420).

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

125380470780 is a wasteful number, since it uses less digits than its factorization.

125380470780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 125380470780 in words is "one hundred twenty-five billion, three hundred eighty million, four hundred seventy thousand, seven hundred eighty".