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1315116648 = 23342029501
BaseRepresentation
bin100111001100011…
…0001011001101000
310101122121211220000
41032120301121220
510143132213043
6334255303000
744406210216
oct11630613150
93348554800
101315116648
1161539266a
1230851aa60
1317c5cb741
14c6937cb6
157a6c92d3
hex4e631668

1315116648 has 40 divisors (see below), whose sum is σ = 3683546130. Its totient is φ = 438372000.

The previous prime is 1315116611. The next prime is 1315116653. The reversal of 1315116648 is 8466115131.

It is a happy number.

1315116648 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 1 + 6 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1294704324 + 20412324 = 35982^2 + 4518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1014103 + ... + 1015398.

Almost surely, 21315116648 is an apocalyptic number.

1315116648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1315116648 is an abundant number, since it is smaller than the sum of its proper divisors (2368429482).

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

1315116648 is a wasteful number, since it uses less digits than its factorization.

1315116648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029519 (or 2029506 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1315116648 is about 36264.5370575718. The cubic root of 1315116648 is about 1095.6068994454.

The spelling of 1315116648 in words is "one billion, three hundred fifteen million, one hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2029501 4059002 6088503 8118004 12177006 16236008 18265509 24354012 36531018 48708024 54796527 73062036 109593054 146124072 164389581 219186108 328779162 438372216 657558324 1315116648