Search a number
-
+
10424511432 = 23355362403
BaseRepresentation
bin10011011010101100…
…10110101111001000
3222220111120001100000
421231112112233020
5132322133331212
64442225243000
7516220612416
oct115526265710
928814501300
1010424511432
11446a401805
12202b193460
13ca193177a
1470c6a82b6
154102b41dc
hex26d596bc8

10424511432 has 48 divisors (see below), whose sum is σ = 29278725840. Its totient is φ = 3474836496.

The previous prime is 10424511431. The next prime is 10424511437. The reversal of 10424511432 is 23411542401.

10424511432 is a `hidden beast` number, since 104 + 2 + 4 + 511 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10424511396 and 10424511405.

It is not an unprimeable number, because it can be changed into a prime (10424511431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2679258 + ... + 2683145.

It is an arithmetic number, because the mean of its divisors is an integer number (609973455).

Almost surely, 210424511432 is an apocalyptic number.

10424511432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10424511432 is an abundant number, since it is smaller than the sum of its proper divisors (18854214408).

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

10424511432 is an equidigital number, since it uses as much as digits as its factorization.

10424511432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362424 (or 5362408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10424511432 in words is "ten billion, four hundred twenty-four million, five hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5362403 10724806 16087209 21449612 32174418 42899224 48261627 64348836 96523254 128697672 144784881 193046508 289569762 386093016 434354643 579139524 868709286 1158279048 1303063929 1737418572 2606127858 3474837144 5212255716 10424511432