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11607652680 = 233513411271429
BaseRepresentation
bin10101100111101111…
…01011100101001000
31002221221211212000020
422303313223211020
5142233024341210
65155452140440
7560435264001
oct126367534510
932857755006
1011607652680
114a17243298
1222bb467720
13112caa2550
147c188a1a8
1547e0be770
hex2b3deb948

11607652680 has 256 divisors, whose sum is σ = 38745907200. Its totient is φ = 2763694080.

The previous prime is 11607652663. The next prime is 11607652697. The reversal of 11607652680 is 8625670611.

It is an interprime number because it is at equal distance from previous prime (11607652663) and next prime (11607652697).

It is a super-2 number, since 2×116076526802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8122206 + ... + 8123634.

It is an arithmetic number, because the mean of its divisors is an integer number (151351200).

Almost surely, 211607652680 is an apocalyptic number.

11607652680 is a gapful number since it is divisible by the number (10) 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 11607652680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372953600).

11607652680 is an abundant number, since it is smaller than the sum of its proper divisors (27138254520).

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

11607652680 is a wasteful number, since it uses less digits than its factorization.

11607652680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11607652680 in words is "eleven billion, six hundred seven million, six hundred fifty-two thousand, six hundred eighty".