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1313677064 = 23724181737
BaseRepresentation
bin100111001001101…
…0001111100001000
310101112220201011002
41032103101330020
510142300131224
6334204354132
744361033200
oct11623217410
93345821132
101313677064
1161459a027
12307b45948
1317c21640b
14c6681400
157a4e29ae
hex4e4d1f08

1313677064 has 48 divisors (see below), whose sum is σ = 2935211580. Its totient is φ = 549265920.

The previous prime is 1313677063. The next prime is 1313677097. The reversal of 1313677064 is 4607763131.

It can be written as a sum of positive squares in 2 ways, for example, as 1077808900 + 235868164 = 32830^2 + 15358^2 .

It is not an unprimeable number, because it can be changed into a prime (1313677063) 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, 24797 + ... + 56940.

Almost surely, 21313677064 is an apocalyptic number.

1313677064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1313677064 is an abundant number, since it is smaller than the sum of its proper divisors (1621534516).

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

1313677064 is a wasteful number, since it uses less digits than its factorization.

1313677064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81798 (or 81787 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 1313677064 is about 36244.6832514784. The cubic root of 1313677064 is about 1095.2069871353.

The spelling of 1313677064 in words is "one billion, three hundred thirteen million, six hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072 81737 163474 326948 572159 653896 1144318 2288636 3351217 4005113 4577272 6702434 8010226 13404868 16020452 23458519 26809736 32040904 46917038 93834076 164209633 187668152 328419266 656838532 1313677064