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11720636928 = 29337211313
BaseRepresentation
bin10101110101001101…
…01011101000000000
31010020211110001021000
422322212223220000
5143000440340203
65215005532000
7563306525100
oct127246535000
933224401230
1011720636928
114a74aa3000
122331274000
13114a311030
147d289b200
15488e8b4a3
hex2ba9aba00

11720636928 has 960 divisors, whose sum is σ = 47805690240. Its totient is φ = 2810142720.

The previous prime is 11720636869. The next prime is 11720636933. The reversal of 11720636928 is 82963602711.

11720636928 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 0 + 636 + 9 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901587450 + ... + 901587462.

It is an arithmetic number, because the mean of its divisors is an integer number (49797594).

Almost surely, 211720636928 is an apocalyptic number.

11720636928 is a gapful number since it is divisible by the number (18) 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 11720636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902845120).

11720636928 is an abundant number, since it is smaller than the sum of its proper divisors (36085053312).

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

11720636928 is an equidigital number, since it uses as much as digits as its factorization.

11720636928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11720636928 in words is "eleven billion, seven hundred twenty million, six hundred thirty-six thousand, nine hundred twenty-eight".