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7980075936 = 253473711887
BaseRepresentation
bin1110110111010011…
…00100101110100000
3202121010220212020000
413123221210232200
5112320344412221
63355504420000
7401516345340
oct73351445640
922533825200
107980075936
1134255aa188
121668617600
139a2388431
14559b9cd20
1531a8b1e26
hex1dba64ba0

7980075936 has 240 divisors, whose sum is σ = 27549156096. Its totient is φ = 2218212864.

The previous prime is 7980075911. The next prime is 7980075941. The reversal of 7980075936 is 6395700897.

It is a super-2 number, since 2×79800759362 (a number of 21 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 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 39 ways as a sum of consecutive naturals, for example, 665385 + ... + 677271.

Almost surely, 27980075936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7980075936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774578048).

7980075936 is an abundant number, since it is smaller than the sum of its proper divisors (19569080160).

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

7980075936 is a wasteful number, since it uses less digits than its factorization.

7980075936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11953 (or 11936 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 7980075936 is about 89331.2707622588. The cubic root of 7980075936 is about 1998.3382810608.

The spelling of 7980075936 in words is "seven billion, nine hundred eighty million, seventy-five thousand, nine hundred thirty-six".