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80756700102 = 2321323311573083
BaseRepresentation
bin100101100110101111…
…0010111001111000110
321201110001222102101200
41023031132113033012
52310342203400402
6101033224203330
75556140424231
oct1131536271706
9251401872350
1080756700102
1131281063071
1213799309546
1377ccb37160
143ca1472418
152179b4121c
hex12cd7973c6

80756700102 has 192 divisors, whose sum is σ = 204326793216. Its totient is φ = 22847235840.

The previous prime is 80756700097. The next prime is 80756700109. The reversal of 80756700102 is 20100765708.

80756700102 is a `hidden beast` number, since 80 + 7 + 567 + 0 + 0 + 10 + 2 = 666.

It is a super-2 number, since 2×807567001022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80756700109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26192653 + ... + 26195735.

It is an arithmetic number, because the mean of its divisors is an integer number (1064202048).

Almost surely, 280756700102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80756700102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102163396608).

80756700102 is an abundant number, since it is smaller than the sum of its proper divisors (123570093114).

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

80756700102 is a wasteful number, since it uses less digits than its factorization.

80756700102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 80756700102 in words is "eighty billion, seven hundred fifty-six million, seven hundred thousand, one hundred two".