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5153656140 = 22325191506917
BaseRepresentation
bin1001100110010111…
…01000110101001100
3111022011111212011100
410303023220311030
541023313444030
62211220423100
7241466232363
oct46313506514
914264455140
105153656140
112205117156
12bb9b47a90
1364193a999
1436c65c7da
152026a9360
hex1332e8d4c

5153656140 has 72 divisors (see below), whose sum is σ = 16455544560. Its totient is φ = 1301975424.

The previous prime is 5153656133. The next prime is 5153656153. The reversal of 5153656140 is 416563515.

5153656140 is a `hidden beast` number, since 5 + 1 + 5 + 36 + 5 + 614 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5153656095 and 5153656104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750039 + ... + 756878.

It is an arithmetic number, because the mean of its divisors is an integer number (228549230).

Almost surely, 25153656140 is an apocalyptic number.

It is an amenable number.

5153656140 is an abundant number, since it is smaller than the sum of its proper divisors (11301888420).

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

5153656140 is a wasteful number, since it uses less digits than its factorization.

5153656140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506951 (or 1506946 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5153656140 is about 71788.9694869623. The cubic root of 5153656140 is about 1727.3160672698.

The spelling of 5153656140 in words is "five billion, one hundred fifty-three million, six hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 1506917 3013834 4520751 6027668 7534585 9041502 13562253 15069170 18083004 22603755 27124506 28631423 30138340 45207510 54249012 57262846 67811265 85894269 90415020 114525692 135622530 143157115 171788538 257682807 271245060 286314230 343577076 429471345 515365614 572628460 858942690 1030731228 1288414035 1717885380 2576828070 5153656140