Search a number
-
+
10122937472 = 2788932
BaseRepresentation
bin10010110110101111…
…11100010010000000
3222010111002111122002
421123113330102000
5131212432444342
64352253403132
7505566356144
oct113327742200
928114074562
1010122937472
11432515282a
121b661994a8
13c5430243b
146c0605224
153e3a93d32
hex25b5fc480

10122937472 has 24 divisors (see below), whose sum is σ = 20169057465. Its totient is φ = 5060899584.

The previous prime is 10122937469. The next prime is 10122937481. The reversal of 10122937472 is 27473922101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8527414336 + 1595523136 = 92344^2 + 39944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71144.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1133858 + ... + 1142750.

Almost surely, 210122937472 is an apocalyptic number.

It is an amenable number.

10122937472 is a deficient number, since it is larger than the sum of its proper divisors (10046119993).

10122937472 is an frugal number, since it uses more digits than its factorization.

10122937472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17800 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 10122937472 in words is "ten billion, one hundred twenty-two million, nine hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 8893 17786 35572 71144 142288 284576 569152 1138304 79085449 158170898 316341796 632683592 1265367184 2530734368 5061468736 10122937472