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125591316480 = 211345797223
BaseRepresentation
bin111010011110111010…
…0110110100000000000
3110000011200012220210000
41310331310312200000
54024202334111410
6133410145440000
712034161401430
oct1647564664000
9400150186700
10125591316480
1149299029a33
1220410340000
13bac66c1266
146115b702c0
153400cb1dc0
hex1d3dd36800

125591316480 has 960 divisors, whose sum is σ = 522101099520. Its totient is φ = 28283240448.

The previous prime is 125591316463. The next prime is 125591316497. The reversal of 125591316480 is 84613195521.

It is a happy number.

125591316480 is a `hidden beast` number, since 1 + 2 + 5 + 591 + 3 + 16 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125591316463) and next prime (125591316497).

It is a tau number, because it is divible by the number of its divisors (960).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 563189649 + ... + 563189871.

It is an arithmetic number, because the mean of its divisors is an integer number (543855312).

Almost surely, 2125591316480 is an apocalyptic number.

125591316480 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 125591316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261050549760).

125591316480 is an abundant number, since it is smaller than the sum of its proper divisors (396509783040).

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

125591316480 is an equidigital number, since it uses as much as digits as its factorization.

125591316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 125591316480 in words is "one hundred twenty-five billion, five hundred ninety-one million, three hundred sixteen thousand, four hundred eighty".