Search a number
-
+
10058485264 = 24250732
BaseRepresentation
bin10010101111000100…
…00100111000010000
3221221222210222211021
421113202010320100
5131044433012024
64342032125224
7504154466632
oct112742047020
927858728737
1010058485264
1142a1830943
121b48696814
13c43b56b39
146b5c28a52
153dd0b1de4
hex257884e10

10058485264 has 15 divisors (see below), whose sum is σ = 19489092493. Its totient is φ = 5029042048.

The previous prime is 10058485249. The next prime is 10058485267. The reversal of 10058485264 is 46258485001.

The square root of 10058485264 is 100292.

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

It can be written as a sum of positive squares in only one way, i.e., 4006890000 + 6051595264 = 63300^2 + 77792^2 .

It is a super-2 number, since 2×100584852642 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10058485264.

It is not an unprimeable number, because it can be changed into a prime (10058485267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 388632 + ... + 413704.

Almost surely, 210058485264 is an apocalyptic number.

10058485264 is the 100292-nd square number.

It is an amenable number.

10058485264 is a deficient number, since it is larger than the sum of its proper divisors (9430607229).

10058485264 is an frugal number, since it uses more digits than its factorization.

10058485264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50154 (or 25075 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 10058485264 in words is "ten billion, fifty-eight million, four hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 25073 50146 100292 200584 401168 628655329 1257310658 2514621316 5029242632 10058485264