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10445483616 = 253372940733
BaseRepresentation
bin10011011101001100…
…10110111001100000
3222221222000112202120
421232212112321200
5132343020433431
64444254544240
7516564101001
oct115646267140
928858015676
1010445483616
114480226497
122036208080
13ca6095549
147113a71a8
15412058196
hex26e996e60

10445483616 has 48 divisors (see below), whose sum is σ = 28160468784. Its totient is φ = 3387723264.

The previous prime is 10445483611. The next prime is 10445483623. The reversal of 10445483616 is 61638454401.

10445483616 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10445483611) 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, 1466815 + ... + 1473918.

It is an arithmetic number, because the mean of its divisors is an integer number (586676433).

Almost surely, 210445483616 is an apocalyptic number.

10445483616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10445483616 is an abundant number, since it is smaller than the sum of its proper divisors (17714985168).

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

10445483616 is a wasteful number, since it uses less digits than its factorization.

10445483616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940783 (or 2940775 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 10445483616 in words is "ten billion, four hundred forty-five million, four hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 2940733 5881466 8822199 11762932 17644398 23525864 35288796 47051728 70577592 94103456 108807121 141155184 217614242 282310368 326421363 435228484 652842726 870456968 1305685452 1740913936 2611370904 3481827872 5222741808 10445483616