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11296925640 = 2332571113232947
BaseRepresentation
bin10101000010101100…
…10110011111001000
31002011022011021122100
422201112112133020
5141114003110030
65104552153400
7546643166160
oct124126263710
932138137570
1011296925640
114877902490
122233398860
1310b05b9cb0
147924c35a0
15461b92360
hex2a15967c8

11296925640 has 1536 divisors, whose sum is σ = 54344908800. Its totient is φ = 1958584320.

The previous prime is 11296925623. The next prime is 11296925641. The reversal of 11296925640 is 4652969211.

11296925640 is a `hidden beast` number, since 1 + 1 + 29 + 69 + 2 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11296925641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 240360097 + ... + 240360143.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 211296925640 is an apocalyptic number.

11296925640 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 11296925640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

11296925640 is an abundant number, since it is smaller than the sum of its proper divisors (43047983160).

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

11296925640 is a wasteful number, since it uses less digits than its factorization.

11296925640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11296925640 in words is "eleven billion, two hundred ninety-six million, nine hundred twenty-five thousand, six hundred forty".