Search a number
-
+
76996599760080 = 243457111378715083
BaseRepresentation
bin10001100000011100101010…
…111110100100010011010000
3101002121210200102102122220000
4101200130222332210103100
540043003014014310310
6431431425530050000
722134551343236310
oct2140345276442320
9332553612378800
1076996599760080
11225960902a3930
128776559579900
1333c6995a54240
14150292626b440
158d7cd19414c0
hex46072afa44d0

76996599760080 has 1600 divisors, whose sum is σ = 359534296332288. Its totient is φ = 14748835000320.

The previous prime is 76996599760061. The next prime is 76996599760123. The reversal of 76996599760080 is 8006799569967.

It is a super-2 number, since 2×769965997600802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5104852219 + ... + 5104867301.

Almost surely, 276996599760080 is an apocalyptic number.

76996599760080 is a gapful number since it is divisible by the number (70) 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 76996599760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179767148166144).

76996599760080 is an abundant number, since it is smaller than the sum of its proper divisors (282537696572208).

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

76996599760080 is a wasteful number, since it uses less digits than its factorization.

76996599760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15926 (or 15911 counting only the distinct ones).

The product of its (nonzero) digits is 2777664960, while the sum is 81.

The spelling of 76996599760080 in words is "seventy-six trillion, nine hundred ninety-six billion, five hundred ninety-nine million, seven hundred sixty thousand, eighty".