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11357416064 = 27101878513
BaseRepresentation
bin10101001001111010…
…00110101010000000
31002022111222111220102
422210331012222000
5141224444303224
65114552501532
7551306305121
oct124475065200
932274874812
1011357416064
1148a8a68875
12224b6aa8a8
1310bcca9247
1479a54c048
154671404ae
hex2a4f46a80

11357416064 has 32 divisors (see below), whose sum is σ = 22850149140. Its totient is φ = 5622476800.

The previous prime is 11357416051. The next prime is 11357416093. The reversal of 11357416064 is 46061475311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9140889664 + 2216526400 = 95608^2 + 47080^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 426329 + ... + 452184.

Almost surely, 211357416064 is an apocalyptic number.

It is an amenable number.

11357416064 is an abundant number, since it is smaller than the sum of its proper divisors (11492733076).

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

11357416064 is an equidigital number, since it uses as much as digits as its factorization.

11357416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878628 (or 878616 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 11357416064 in words is "eleven billion, three hundred fifty-seven million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 878513 1757026 3514052 7028104 14056208 28112416 56224832 88729813 112449664 177459626 354919252 709838504 1419677008 2839354016 5678708032 11357416064