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10424022432 = 2533716717573
BaseRepresentation
bin10011011010101000…
…11111010110100000
3222220110122012112220
421231110133112200
5132322022204212
64442210551040
7516213504645
oct115524372640
928813565486
1010424022432
11446a0a837a
12202ab98480
13ca17c0015
1470c5bbdcc
1541021938c
hex26d51f5a0

10424022432 has 96 divisors (see below), whose sum is σ = 28272488832. Its totient is φ = 3360328704.

The previous prime is 10424022361. The next prime is 10424022451. The reversal of 10424022432 is 23422042401.

10424022432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584398 + ... + 601970.

It is an arithmetic number, because the mean of its divisors is an integer number (294505092).

Almost surely, 210424022432 is an apocalyptic number.

10424022432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136244416).

10424022432 is an abundant number, since it is smaller than the sum of its proper divisors (17848466400).

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

10424022432 is a wasteful number, since it uses less digits than its factorization.

10424022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17790 (or 17782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10424022432 its reverse (23422042401), we get a palindrome (33846064833).

The spelling of 10424022432 in words is "ten billion, four hundred twenty-four million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 167 222 296 334 444 501 592 668 888 1002 1184 1336 1776 2004 2672 3552 4008 5344 6179 8016 12358 16032 17573 18537 24716 35146 37074 49432 52719 70292 74148 98864 105438 140584 148296 197728 210876 281168 296592 421752 562336 593184 650201 843504 1300402 1687008 1950603 2600804 2934691 3901206 5201608 5869382 7802412 8804073 10403216 11738764 15604824 17608146 20806432 23477528 31209648 35216292 46955056 62419296 70432584 93910112 108583567 140865168 217167134 281730336 325750701 434334268 651501402 868668536 1303002804 1737337072 2606005608 3474674144 5212011216 10424022432