Search a number
-
+
11742400467 = 34720709701
BaseRepresentation
bin10101110111110011…
…01100111111010011
31010022100101202020000
422323321230333103
5143022023303332
65221104221043
7563662520460
oct127371547723
933270352200
1011742400467
114a863082a6
12233860a783
131151991075
147d5724667
1548ad39b7c
hex2bbe6cfd3

11742400467 has 20 divisors (see below), whose sum is σ = 20046991536. Its totient is φ = 6709942800.

The previous prime is 11742400433. The next prime is 11742400477. The reversal of 11742400467 is 76400424711.

It is a happy number.

11742400467 is a `hidden beast` number, since 1 + 174 + 24 + 0 + 0 + 467 = 666.

It is not a de Polignac number, because 11742400467 - 26 = 11742400403 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11742400477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10354284 + ... + 10355417.

Almost surely, 211742400467 is an apocalyptic number.

11742400467 is a deficient number, since it is larger than the sum of its proper divisors (8304591069).

11742400467 is an equidigital number, since it uses as much as digits as its factorization.

11742400467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20709720 (or 20709711 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 11742400467 in words is "eleven billion, seven hundred forty-two million, four hundred thousand, four hundred sixty-seven".

Divisors: 1 3 7 9 21 27 63 81 189 567 20709701 62129103 144967907 186387309 434903721 559161927 1304711163 1677485781 3914133489 11742400467