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10024443432 = 23321103126227
BaseRepresentation
bin10010101011000000…
…01101111000101000
3221212121202111012200
421111200031320220
5131012224142212
64334414340200
7503262235413
oct112540157050
927777674180
1010024443432
11428459a7a3
121b391ba660
13c39a98243
146b14c6b7a
153da0da6dc
hex25580de28

10024443432 has 48 divisors (see below), whose sum is σ = 27174363840. Its totient is φ = 3338425248.

The previous prime is 10024443421. The next prime is 10024443437. The reversal of 10024443432 is 23434442001.

It is a happy number.

It is a super-2 number, since 2×100244434322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024443396 and 10024443405.

It is not an unprimeable number, because it can be changed into a prime (10024443437) 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, 16303 + ... + 142529.

It is an arithmetic number, because the mean of its divisors is an integer number (566132580).

Almost surely, 210024443432 is an apocalyptic number.

10024443432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024443432 is an abundant number, since it is smaller than the sum of its proper divisors (17149920408).

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

10024443432 is a wasteful number, since it uses less digits than its factorization.

10024443432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127342 (or 127335 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10024443432 its reverse (23434442001), we get a palindrome (33458885433).

The spelling of 10024443432 in words is "ten billion, twenty-four million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1103 2206 3309 4412 6618 8824 9927 13236 19854 26472 39708 79416 126227 252454 378681 504908 757362 1009816 1136043 1514724 2272086 3029448 4544172 9088344 139228381 278456762 417685143 556913524 835370286 1113827048 1253055429 1670740572 2506110858 3341481144 5012221716 10024443432