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1313817948 = 223319163691
BaseRepresentation
bin100111001001111…
…0100010101011100
310101120011212102000
41032103310111130
510142314133243
6334211402300
744362161012
oct11623642534
93346155360
101313817948
11614685963
12307bb3390
1317c265591
14c66ba8b2
157a51e5d3
hex4e4f455c

1313817948 has 48 divisors (see below), whose sum is σ = 3424081920. Its totient is φ = 435639600.

The previous prime is 1313817929. The next prime is 1313817949. The reversal of 1313817948 is 8497183131.

It is a super-2 number, since 2×13138179482 = 3452235200973861408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313817949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11218 + ... + 52473.

It is an arithmetic number, because the mean of its divisors is an integer number (71335040).

Almost surely, 21313817948 is an apocalyptic number.

1313817948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1313817948 is an abundant number, since it is smaller than the sum of its proper divisors (2110263972).

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

1313817948 is a wasteful number, since it uses less digits than its factorization.

1313817948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63895 (or 63887 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1313817948 is about 36246.6267120128. The cubic root of 1313817948 is about 1095.2461371999.

The spelling of 1313817948 in words is "one billion, three hundred thirteen million, eight hundred seventeen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 6876 10314 20628 63691 127382 191073 254764 382146 573219 764292 1146438 1719657 2292876 3439314 6878628 12164981 24329962 36494943 48659924 72989886 109484829 145979772 218969658 328454487 437939316 656908974 1313817948