Search a number
-
+
10387278724 = 2213123892
BaseRepresentation
bin10011010110010000…
…10100101110000100
3222210220111102122211
421223020110232010
5132233120404344
64434415233204
7515256261304
oct115310245604
928726442584
1010387278724
114450391279
12201a818804
13c96cc6694
14707775604
1540bdac334
hex26b214b84

10387278724 has 27 divisors (see below), whose sum is σ = 18364768261. Its totient is φ = 5140743920.

The previous prime is 10387278719. The next prime is 10387278751. The reversal of 10387278724 is 42787278301.

The square root of 10387278724 is 101918.

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., 2452032324 + 7935246400 = 49518^2 + 89080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26702322 + ... + 26702710.

Almost surely, 210387278724 is an apocalyptic number.

10387278724 is the 101918-th square number.

It is an amenable number.

10387278724 is a deficient number, since it is larger than the sum of its proper divisors (7977489537).

10387278724 is an frugal number, since it uses more digits than its factorization.

10387278724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 49.

Multiplying 10387278724 by its sum of digits (49), we get a square (508976657476 = 7134262).

The spelling of 10387278724 in words is "ten billion, three hundred eighty-seven million, two hundred seventy-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 131 262 389 524 778 1556 17161 34322 50959 68644 101918 151321 203836 302642 605284 6675629 13351258 19823051 26702516 39646102 79292204 2596819681 5193639362 10387278724