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5079652656 = 2431361913151
BaseRepresentation
bin1001011101100010…
…10101100100110000
3111010000021002110120
410232301111210300
540400342341111
62200014330240
7236610222651
oct45661254460
914100232416
105079652656
112177371251
12b991b9980
1362c4c9b40
143628b7528
151eae3c406
hex12ec55930

5079652656 has 80 divisors (see below), whose sum is σ = 14155760640. Its totient is φ = 1560326400.

The previous prime is 5079652631. The next prime is 5079652681. The reversal of 5079652656 is 6562569705.

It is an interprime number because it is at equal distance from previous prime (5079652631) and next prime (5079652681).

It is a super-2 number, since 2×50796526562 = 51605742211215708672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5079652599 and 5079652608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379681 + ... + 392831.

It is an arithmetic number, because the mean of its divisors is an integer number (176947008).

Almost surely, 25079652656 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 5079652656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077880320).

5079652656 is an abundant number, since it is smaller than the sum of its proper divisors (9076107984).

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

5079652656 is a wasteful number, since it uses less digits than its factorization.

5079652656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The square root of 5079652656 is about 71271.6820062499. The cubic root of 5079652656 is about 1719.0084261274.

The spelling of 5079652656 in words is "five billion, seventy-nine million, six hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 619 624 1238 1857 2476 3714 4952 7428 8047 9904 13151 14856 16094 24141 26302 29712 32188 39453 48282 52604 64376 78906 96564 105208 128752 157812 170963 193128 210416 315624 341926 386256 512889 631248 683852 1025778 1367704 2051556 2735408 4103112 8140469 8206224 16280938 24421407 32561876 48842814 65123752 97685628 105826097 130247504 195371256 211652194 317478291 390742512 423304388 634956582 846608776 1269913164 1693217552 2539826328 5079652656