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11990739075264 = 2635293101313
BaseRepresentation
bin1010111001111100111110…
…1111100100000011000000
31120110022012020000101100000
42232133033233210003000
53032424013200402024
641300245224200000
72345205456315645
oct256371757440300
946408166011300
1011990739075264
113903275678aa4
121417a76309000
1368c94cb73471
142d64d7a85dcc
1515bd8eda2cc9
hexae7cfbe40c0

11990739075264 has 672 divisors, whose sum is σ = 37399713099840. Its totient is φ = 3808672358400.

The previous prime is 11990739075251. The next prime is 11990739075281. The reversal of 11990739075264 is 46257093709911.

11990739075264 is a `hidden beast` number, since 1 + 19 + 9 + 0 + 7 + 3 + 90 + 7 + 526 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38309070372 + ... + 38309070684.

It is an arithmetic number, because the mean of its divisors is an integer number (55654334970).

Almost surely, 211990739075264 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 11990739075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699856549920).

11990739075264 is an abundant number, since it is smaller than the sum of its proper divisors (25408974024576).

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

11990739075264 is an frugal number, since it uses more digits than its factorization.

11990739075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 11990739075264 in words is "eleven trillion, nine hundred ninety billion, seven hundred thirty-nine million, seventy-five thousand, two hundred sixty-four".