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10442544432 = 243317017839
BaseRepresentation
bin10011011100110110…
…01001010100110000
3222221202111012221220
421232123021110300
5132341242410212
64444111545040
7516530106645
oct115633112460
928852435856
1010442544432
1144795a9211
12203522b180
13ca55a6798
14710c3ddcc
15411b7738c
hex26e6c9530

10442544432 has 40 divisors (see below), whose sum is σ = 27846789120. Its totient is φ = 3368562240.

The previous prime is 10442544397. The next prime is 10442544443. The reversal of 10442544432 is 23444524401.

It is a junction number, because it is equal to n+sod(n) for n = 10442544393 and 10442544402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3507432 + ... + 3510407.

It is an arithmetic number, because the mean of its divisors is an integer number (696169728).

Almost surely, 210442544432 is an apocalyptic number.

10442544432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10442544432 is an abundant number, since it is smaller than the sum of its proper divisors (17404244688).

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

10442544432 is a wasteful number, since it uses less digits than its factorization.

10442544432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017881 (or 7017875 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 10442544432 in words is "ten billion, four hundred forty-two million, five hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 7017839 14035678 21053517 28071356 42107034 56142712 84214068 112285424 168428136 217553009 336856272 435106018 652659027 870212036 1305318054 1740424072 2610636108 3480848144 5221272216 10442544432