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11375720928 = 25321113416737
BaseRepresentation
bin10101001100000101…
…11011100111100000
31002100210102111110100
422212002323213200
5141244141032203
65120445102400
7551621014065
oct124602734740
932323374410
1011375720928
114908330560
122255857a00
1310c3a17c20
1479cb54c6c
15468a58ea3
hex2a60bb9e0

11375720928 has 288 divisors, whose sum is σ = 38937985632. Its totient is φ = 3103948800.

The previous prime is 11375720849. The next prime is 11375720963. The reversal of 11375720928 is 82902757311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685176 + ... + 1691912.

It is an arithmetic number, because the mean of its divisors is an integer number (135201339).

Almost surely, 211375720928 is an apocalyptic number.

11375720928 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 11375720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468992816).

11375720928 is an abundant number, since it is smaller than the sum of its proper divisors (27562264704).

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

11375720928 is a wasteful number, since it uses less digits than its factorization.

11375720928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11375720928 in words is "eleven billion, three hundred seventy-five million, seven hundred twenty thousand, nine hundred twenty-eight".