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5149916317 = 72138084641
BaseRepresentation
bin1001100101111010…
…10111110010011101
3111021220110212002101
410302331113302131
541021334310232
62211004325101
7241422365200
oct46275276235
914256425071
105149916317
112202aa2397
12bb8843791
13640c2b680
1436bd67937
152021bb1e7
hex132f57c9d

5149916317 has 12 divisors (see below), whose sum is σ = 6451544316. Its totient is φ = 4074658560.

The previous prime is 5149916311. The next prime is 5149916329. The reversal of 5149916317 is 7136199415.

It can be written as a sum of positive squares in 2 ways, for example, as 212605561 + 4937310756 = 14581^2 + 70266^2 .

It is a de Polignac number, because none of the positive numbers 2k-5149916317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5149916311) 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, 4041684 + ... + 4042957.

It is an arithmetic number, because the mean of its divisors is an integer number (537628693).

Almost surely, 25149916317 is an apocalyptic number.

It is an amenable number.

5149916317 is a deficient number, since it is larger than the sum of its proper divisors (1301627999).

5149916317 is a wasteful number, since it uses less digits than its factorization.

5149916317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084668 (or 8084661 counting only the distinct ones).

The product of its digits is 204120, while the sum is 46.

The square root of 5149916317 is about 71762.9174225797. The cubic root of 5149916317 is about 1726.8981491049.

It can be divided in two parts, 514 and 9916317, that added together give a triangular number (9916831 = T4453).

The spelling of 5149916317 in words is "five billion, one hundred forty-nine million, nine hundred sixteen thousand, three hundred seventeen".

Divisors: 1 7 13 49 91 637 8084641 56592487 105100333 396147409 735702331 5149916317