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12136404276 = 22322334872971
BaseRepresentation
bin10110100110110001…
…01101010100110100
31011022210210012211200
423103120231110310
5144323404414101
65324141132500
7606515506563
oct132330552464
934283705750
1012136404276
115168758187
12242855a130
1311b54b3309
14831ba7bda
154b0716986
hex2d362d534

12136404276 has 72 divisors (see below), whose sum is σ = 30883454784. Its totient is φ = 4018481280.

The previous prime is 12136404263. The next prime is 12136404283. The reversal of 12136404276 is 67240463121.

12136404276 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 640 + 4 + 2 + 7 + 6 = 666.

12136404276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121364042762 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12136404276.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4083471 + ... + 4086441.

It is an arithmetic number, because the mean of its divisors is an integer number (428936872).

Almost surely, 212136404276 is an apocalyptic number.

It is an amenable number.

12136404276 is an abundant number, since it is smaller than the sum of its proper divisors (18747050508).

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

12136404276 is a wasteful number, since it uses less digits than its factorization.

12136404276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 12136404276 its reverse (67240463121), we get a palindrome (79376867397).

The spelling of 12136404276 in words is "twelve billion, one hundred thirty-six million, four hundred four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 487 699 932 974 1398 1461 1948 2097 2796 2922 2971 4194 4383 5844 5942 8388 8766 8913 11884 17532 17826 26739 35652 53478 106956 113471 226942 340413 453884 680826 692243 1021239 1361652 1384486 1446877 2042478 2076729 2768972 2893754 4084956 4153458 4340631 5787508 6230187 8306916 8681262 12460374 13021893 17362524 24920748 26043786 52087572 337122341 674244682 1011367023 1348489364 2022734046 3034101069 4045468092 6068202138 12136404276