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11422494720 = 212335713227
BaseRepresentation
bin10101010001101010…
…10111000000000000
31002111001102212001000
422220311113000000
5141343124312340
65125235412000
7553026413610
oct125065270000
932431385030
1011422494720
11493177838a
122269454000
131100613a20
147a504ca40
1546cbe7d30
hex2a8d57000

11422494720 has 832 divisors, whose sum is σ = 50199690240. Its totient is φ = 2399404032.

The previous prime is 11422494679. The next prime is 11422494737. The reversal of 11422494720 is 2749422411.

It is a happy number.

11422494720 is a `hidden beast` number, since 1 + 142 + 2 + 49 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50319247 + ... + 50319473.

Almost surely, 211422494720 is an apocalyptic number.

11422494720 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 11422494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099845120).

11422494720 is an abundant number, since it is smaller than the sum of its proper divisors (38777195520).

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

11422494720 is a wasteful number, since it uses less digits than its factorization.

11422494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11422494720 in words is "eleven billion, four hundred twenty-two million, four hundred ninety-four thousand, seven hundred twenty".