Search a number
-
+
10406624316 = 22311501115733
BaseRepresentation
bin10011011000100100…
…00111110000111100
3222212020220021211020
421230102013300330
5132303043434231
64440350024140
7515612563404
oct115422076074
928766807736
1010406624316
1144602a4970
1220251a8050
13c9b00ac8a
1470a16d804
1540d92e396
hex26c487c3c

10406624316 has 48 divisors (see below), whose sum is σ = 26496559488. Its totient is φ = 3152692800.

The previous prime is 10406624309. The next prime is 10406624363. The reversal of 10406624316 is 61342660401.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653586 + ... + 669318.

It is an arithmetic number, because the mean of its divisors is an integer number (552011656).

Almost surely, 210406624316 is an apocalyptic number.

It is an amenable number.

10406624316 is an abundant number, since it is smaller than the sum of its proper divisors (16089935172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10406624316 is a wasteful number, since it uses less digits than its factorization.

10406624316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20762 (or 20760 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10406624316 in words is "ten billion, four hundred six million, six hundred twenty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5011 10022 15033 15733 20044 30066 31466 47199 55121 60132 62932 94398 110242 165363 173063 188796 220484 330726 346126 519189 661452 692252 1038378 2076756 78838063 157676126 236514189 315352252 473028378 867218693 946056756 1734437386 2601656079 3468874772 5203312158 10406624316