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76792325363712 = 2113472314891931
BaseRepresentation
bin10001011101011110011011…
…010001100101100000000000
3101001220021102012010010220000
4101131132123101211200000
540031131140243114322
6431153523544520000
722114030260434310
oct2135363321454000
9331807365103800
1076792325363712
1122517495772452
128742a4a480000
1333b064000b75a
1414d6aa8609440
158d28280e43ac
hex45d79b465800

76792325363712 has 960 divisors, whose sum is σ = 273863336947200. Its totient is φ = 20961766932480.

The previous prime is 76792325363587. The next prime is 76792325363723. The reversal of 76792325363712 is 21736352329767.

It is a happy number.

76792325363712 is a `hidden beast` number, since 7 + 6 + 7 + 9 + 2 + 3 + 253 + 6 + 371 + 2 = 666.

It is a super-2 number, since 2×767923253637122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 76792325363712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39768163387 + ... + 39768165317.

It is an arithmetic number, because the mean of its divisors is an integer number (285274309320).

Almost surely, 276792325363712 is an apocalyptic number.

76792325363712 is a gapful number since it is divisible by the number (72) 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 76792325363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136931668473600).

76792325363712 is an abundant number, since it is smaller than the sum of its proper divisors (197071011583488).

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

76792325363712 is a wasteful number, since it uses less digits than its factorization.

76792325363712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3455 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 63.

The spelling of 76792325363712 in words is "seventy-six trillion, seven hundred ninety-two billion, three hundred twenty-five million, three hundred sixty-three thousand, seven hundred twelve".