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11742400904 = 2313293893369
BaseRepresentation
bin10101110111110011…
…01101000110001000
31010022100101202211012
422323321231012020
5143022023312104
65221104223052
7563662521653
oct127371550610
933270352735
1011742400904
114a86308663
12233860aa88
131151991320
147d572489a
1548ad39d6e
hex2bbe6d188

11742400904 has 32 divisors (see below), whose sum is σ = 24528231000. Its totient is φ = 5232686592.

The previous prime is 11742400889. The next prime is 11742400909. The reversal of 11742400904 is 40900424711.

It can be written as a sum of positive squares in 4 ways, for example, as 10816416004 + 925984900 = 104002^2 + 30430^2 .

It is not an unprimeable number, because it can be changed into a prime (11742400909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1943669 + ... + 1949700.

Almost surely, 211742400904 is an apocalyptic number.

It is an amenable number.

11742400904 is an abundant number, since it is smaller than the sum of its proper divisors (12785830096).

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

11742400904 is a wasteful number, since it uses less digits than its factorization.

11742400904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893417 (or 3893413 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 11742400904 in words is "eleven billion, seven hundred forty-two million, four hundred thousand, nine hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 3893369 7786738 15573476 31146952 50613797 101227594 112907701 202455188 225815402 404910376 451630804 903261608 1467800113 2935600226 5871200452 11742400904