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1316137504 = 251110934303
BaseRepresentation
bin100111001110010…
…1010101000100000
310101201112201020111
41032130222220200
510143412400004
6334333221104
744420661403
oct11634525040
93351481214
101316137504
11615a1a650
12308931794
1317c8982b6
14c6b21d3a
157a82ba04
hex4e72aa20

1316137504 has 48 divisors (see below), whose sum is σ = 2852720640. Its totient is φ = 592738560.

The previous prime is 1316137489. The next prime is 1316137517. The reversal of 1316137504 is 4057316131.

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, 21217 + ... + 55519.

It is an arithmetic number, because the mean of its divisors is an integer number (59431680).

Almost surely, 21316137504 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 1316137504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426360320).

1316137504 is an abundant number, since it is smaller than the sum of its proper divisors (1536583136).

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

1316137504 is a wasteful number, since it uses less digits than its factorization.

1316137504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433 (or 34425 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1316137504 is about 36278.6094551597. The cubic root of 1316137504 is about 1095.8903134943.

The spelling of 1316137504 in words is "one billion, three hundred sixteen million, one hundred thirty-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1744 2398 3488 4796 9592 19184 34303 38368 68606 137212 274424 377333 548848 754666 1097696 1509332 3018664 3739027 6037328 7478054 12074656 14956108 29912216 41129297 59824432 82258594 119648864 164517188 329034376 658068752 1316137504