Search a number
-
+
10257453831076 = 2243216722232
BaseRepresentation
bin1001010101000011111111…
…1001000101001110100100
31100022121021121000221221021
42111100333321011032210
52321024231140043301
633452113110100524
72106035160660064
oct225207771051644
940277247027837
1010257453831076
1132a5186304941
121197b6864a744
1359537355ba3a
1427666b8753a4
1512bc4731e8a1
hex9543fe453a4

10257453831076 has 81 divisors (see below), whose sum is σ = 18571691534571. Its totient is φ = 4957128059184.

The previous prime is 10257453831041. The next prime is 10257453831089. The reversal of 10257453831076 is 67013835475201.

The square root of 10257453831076 is 3202726.

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

10257453831076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 45997550701 + ... + 45997550923.

Almost surely, 210257453831076 is an apocalyptic number.

10257453831076 is the 3202726-th square number.

It is an amenable number.

10257453831076 is a deficient number, since it is larger than the sum of its proper divisors (8314237703495).

10257453831076 is an frugal number, since it uses more digits than its factorization.

10257453831076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 10257453831076 in words is "ten trillion, two hundred fifty-seven billion, four hundred fifty-three million, eight hundred thirty-one thousand, seventy-six".

Divisors: 1 2 4 43 86 167 172 223 334 446 668 892 1849 3698 7181 7396 9589 14362 19178 27889 28724 37241 38356 49729 55778 74482 99458 111556 148964 198916 308783 412327 617566 824654 1199227 1235132 1601363 1649308 2138347 2398454 3202726 4276694 4796908 6219247 6405452 8304743 8553388 12438494 16609486 24876988 33218972 51566761 68858609 91948921 103133522 137717218 183897842 206267044 267427621 275434436 357103949 367795684 534855242 714207898 1069710484 1386892081 1428415796 2773784162 5547568324 11499387703 15355469807 22998775406 30710939614 45997550812 59636359483 61421879228 119272718966 238545437932 2564363457769 5128726915538 10257453831076