Search a number
-
+
13114501746025 = 52167243372
BaseRepresentation
bin1011111011010111010100…
…1101111100110101101001
31201102201211011201220020211
42332311311031330311221
53204331444421333100
643520415142221121
72522330402364001
oct276656515746551
951381734656224
1013114501746025
1141a6913383269
1215798181247a1
137418cca20764
14334a6104b001
1517b211ab51ba
hexbed7537cd69

13114501746025 has 27 divisors (see below), whose sum is σ = 16363715449669. Its totient is φ = 10426372830080.

The previous prime is 13114501745999. The next prime is 13114501746061. The reversal of 13114501746025 is 52064710541131.

The square root of 13114501746025 is 3621395.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7008996797401 + 6105504948624 = 2647451^2 + 2470932^2 .

It is not a de Polignac number, because 13114501746025 - 27 = 13114501745897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3023862657 + ... + 3023866993.

Almost surely, 213114501746025 is an apocalyptic number.

13114501746025 is the 3621395-th square number.

13114501746025 is the 1810698-th centered octagonal number.

It is an amenable number.

13114501746025 is a deficient number, since it is larger than the sum of its proper divisors (3249213703644).

13114501746025 is an frugal number, since it uses more digits than its factorization.

13114501746025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 13114501746025 in words is "thirteen trillion, one hundred fourteen billion, five hundred one million, seven hundred forty-six thousand, twenty-five".

Divisors: 1 5 25 167 835 4175 4337 21685 27889 108425 139445 697225 724279 3621395 18106975 18809569 94047845 120954593 470239225 604772965 3023864825 3141198023 15705990115 78529950575 524580069841 2622900349205 13114501746025