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125770278816 = 253272132341727
BaseRepresentation
bin111010100100001111…
…1100010011110100000
3110000122010222010221200
41311020133202132200
54030034142410231
6133440021321200
712041463505500
oct1651037423640
9400563863850
10125770278816
1149380052a96
1220460266200
13bb247c0a30
146131837a00
153411862be6
hex1d487e27a0

125770278816 has 864 divisors, whose sum is σ = 479599481088. Its totient is φ = 30911569920.

The previous prime is 125770278811. The next prime is 125770278817. The reversal of 125770278816 is 618872077521.

It is not an unprimeable number, because it can be changed into a prime (125770278811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172998645 + ... + 172999371.

It is an arithmetic number, because the mean of its divisors is an integer number (555091992).

Almost surely, 2125770278816 is an apocalyptic number.

125770278816 is a gapful number since it is divisible by the number (16) 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 125770278816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239799740544).

125770278816 is an abundant number, since it is smaller than the sum of its proper divisors (353829202272).

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

125770278816 is a wasteful number, since it uses less digits than its factorization.

125770278816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 125770278816 in words is "one hundred twenty-five billion, seven hundred seventy million, two hundred seventy-eight thousand, eight hundred sixteen".