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46286400677 = 11217314872
BaseRepresentation
bin101011000110111000…
…100110110010100101
311102110210000210001012
4223012320212302211
51224243304310202
633132542112005
73226006625366
oct530670466245
9142423023035
1046286400677
11186a2514a00
128b7927b605
13449859718a
14235144db6d
15130d844152
hexac6e26ca5

46286400677 has 18 divisors (see below), whose sum is σ = 51205308294. Its totient is φ = 41807183440.

The previous prime is 46286400673. The next prime is 46286400679. The reversal of 46286400677 is 77600468264.

46286400677 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 only one way, i.e., 45216194881 + 1070205796 = 212641^2 + 32714^2 .

It is not a de Polignac number, because 46286400677 - 22 = 46286400673 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46286400673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31126628 + ... + 31128114.

Almost surely, 246286400677 is an apocalyptic number.

It is an amenable number.

46286400677 is a deficient number, since it is larger than the sum of its proper divisors (4918907617).

46286400677 is an equidigital number, since it uses as much as digits as its factorization.

46286400677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 46286400677 in words is "forty-six billion, two hundred eighty-six million, four hundred thousand, six hundred seventy-seven".

Divisors: 1 11 121 173 1487 1903 16357 20933 179927 257251 2211169 2829761 24322859 31127371 267551449 382532237 4207854607 46286400677