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125996207616 = 2936794273
BaseRepresentation
bin111010101010111110…
…1011000111000000000
3110001012220002112000000
41311111331120320000
54031020012120431
6133514252000000
712050206044156
oct1652575307000
9401186075000
10125996207616
1149486635704
1220503a60000
13bb5c555c06
1461538493d6
1534265de9e6
hex1d55f58e00

125996207616 has 280 divisors, whose sum is σ = 382314086880. Its totient is φ = 41457401856.

The previous prime is 125996207611. The next prime is 125996207651. The reversal of 125996207616 is 616702699521.

125996207616 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 9 + 620 + 7 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×1259962076162 (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 not an unprimeable number, because it can be changed into a prime (125996207611) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29484456 + ... + 29488728.

Almost surely, 2125996207616 is an apocalyptic number.

125996207616 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 125996207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191157043440).

125996207616 is an abundant number, since it is smaller than the sum of its proper divisors (256317879264).

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

125996207616 is an frugal number, since it uses more digits than its factorization.

125996207616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 125996207616 in words is "one hundred twenty-five billion, nine hundred ninety-six million, two hundred seven thousand, six hundred sixteen".