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1317108064 = 25234194271
BaseRepresentation
bin100111010000001…
…0111100101100000
310101210101000121011
41032200113211200
510144134424224
6334410110304
744432143126
oct11640274540
93353330534
101317108064
11616522868
1230911b394
1317cb47cac
14c6cd5916
157a96e394
hex4e817960

1317108064 has 48 divisors (see below), whose sum is σ = 2712890880. Its totient is φ = 628270720.

The previous prime is 1317108053. The next prime is 1317108073. The reversal of 1317108064 is 4608017131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306249 + ... + 310519.

It is an arithmetic number, because the mean of its divisors is an integer number (56518560).

Almost surely, 21317108064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356445440).

1317108064 is an abundant number, since it is smaller than the sum of its proper divisors (1395782816).

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

1317108064 is a wasteful number, since it uses less digits than its factorization.

1317108064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1317108064 is about 36291.9834674271. The cubic root of 1317108064 is about 1096.1596283027.

The spelling of 1317108064 in words is "one billion, three hundred seventeen million, one hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 419 736 838 1676 3352 4271 6704 8542 9637 13408 17084 19274 34168 38548 68336 77096 98233 136672 154192 196466 308384 392932 785864 1571728 1789549 3143456 3579098 7158196 14316392 28632784 41159627 57265568 82319254 164638508 329277016 658554032 1317108064