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46314600253 = 312212922637
BaseRepresentation
bin101011001000100100…
…001011011100111101
311102112202002110120221
4223020210023130331
51224323014202003
633135430341341
73226501415035
oct531044133475
9142482073527
1046314600253
1118707425739
128b867ba851
1344a138b80c
1423550b08c5
1513110647bd
hexac890b73d

46314600253 has 12 divisors (see below), whose sum is σ = 47881407420. Its totient is φ = 44797549440.

The previous prime is 46314600221. The next prime is 46314600281. The reversal of 46314600253 is 35200641364.

46314600253 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 12029263684 + 34285336569 = 109678^2 + 185163^2 .

It is not a de Polignac number, because 46314600253 - 25 = 46314600221 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 (46314600953) 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, 2034651 + ... + 2057287.

It is an arithmetic number, because the mean of its divisors is an integer number (3990117285).

Almost surely, 246314600253 is an apocalyptic number.

It is an amenable number.

46314600253 is a deficient number, since it is larger than the sum of its proper divisors (1566807167).

46314600253 is a wasteful number, since it uses less digits than its factorization.

46314600253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24828 (or 24797 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 46314600253 in words is "forty-six billion, three hundred fourteen million, six hundred thousand, two hundred fifty-three".

Divisors: 1 31 961 2129 22637 65999 701747 2045969 21754157 48194173 1494019363 46314600253