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10442541552 = 2431459149111
BaseRepresentation
bin10011011100110110…
…01000100111110000
3222221202111002000020
421232123020213300
5132341242312202
64444111523440
7516530065362
oct115633104760
928852432006
1010442541552
1144795a7033
122035229580
13ca55a5391
14710c3cd32
15411b765bc
hex26e6c89f0

10442541552 has 40 divisors (see below), whose sum is σ = 26995236480. Its totient is φ = 3478438080.

The previous prime is 10442541539. The next prime is 10442541553. The reversal of 10442541552 is 25514524401.

It is a happy number.

10442541552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442541553) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4524 + ... + 144587.

It is an arithmetic number, because the mean of its divisors is an integer number (674880912).

Almost surely, 210442541552 is an apocalyptic number.

10442541552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10442541552 is an abundant number, since it is smaller than the sum of its proper divisors (16552694928).

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

10442541552 is a wasteful number, since it uses less digits than its factorization.

10442541552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150581 (or 150575 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 10442541552 in words is "ten billion, four hundred forty-two million, five hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1459 2918 4377 5836 8754 11672 17508 23344 35016 70032 149111 298222 447333 596444 894666 1192888 1789332 2385776 3578664 7157328 217552949 435105898 652658847 870211796 1305317694 1740423592 2610635388 3480847184 5221270776 10442541552