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46132004232 = 23321733703597
BaseRepresentation
bin101010111101101011…
…101000010110001000
311102002000111121221100
4222331223220112020
51223434243113412
633105344541400
73222123365106
oct527553502610
9142060447840
1046132004232
111862334a636
128b35621860
1344725b9132
142338b3cc76
1512eeee6edc
hexabdae8588

46132004232 has 48 divisors (see below), whose sum is σ = 125663080140. Its totient is φ = 15288444288.

The previous prime is 46132004231. The next prime is 46132004251. The reversal of 46132004232 is 23240023164.

46132004232 is a `hidden beast` number, since 4 + 613 + 2 + 0 + 0 + 42 + 3 + 2 = 666.

46132004232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43494770916 + 2637233316 = 208554^2 + 51354^2 .

It is a super-2 number, since 2×461320042322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46132004196 and 46132004205.

It is not an unprimeable number, because it can be changed into a prime (46132004231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839343 + ... + 1864254.

Almost surely, 246132004232 is an apocalyptic number.

It is an amenable number.

46132004232 is an abundant number, since it is smaller than the sum of its proper divisors (79531075908).

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

46132004232 is a wasteful number, since it uses less digits than its factorization.

46132004232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703782 (or 3703775 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 46132004232 its reverse (23240023164), we get a palindrome (69372027396).

The spelling of 46132004232 in words is "forty-six billion, one hundred thirty-two million, four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 6228 12456 3703597 7407194 11110791 14814388 22221582 29628776 33332373 44443164 66664746 88886328 133329492 266658984 640722281 1281444562 1922166843 2562889124 3844333686 5125778248 5766500529 7688667372 11533001058 15377334744 23066002116 46132004232