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10445072025 = 352478273583
BaseRepresentation
bin10011011101001001…
…10010011010011001
3222221221020122011110
421232210302122121
5132342414301100
64444242050533
7516560435013
oct115644623231
928857218143
1010445072025
11447aa75233
122036049a49
13ca5c800bb
147112db1b3
15411ec6250
hex26e932699

10445072025 has 48 divisors (see below), whose sum is σ = 17662869504. Its totient is φ = 5444066880.

The previous prime is 10445071963. The next prime is 10445072063. The reversal of 10445072025 is 52027054401.

10445072025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10445072025 - 216 = 10445006489 is a prime.

It is a super-3 number, since 3×104450720253 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10445071983 and 10445072001.

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 47 ways as a sum of consecutive naturals, for example, 2913384 + ... + 2916966.

It is an arithmetic number, because the mean of its divisors is an integer number (367976448).

Almost surely, 210445072025 is an apocalyptic number.

10445072025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10445072025 is a deficient number, since it is larger than the sum of its proper divisors (7217797479).

10445072025 is a wasteful number, since it uses less digits than its factorization.

10445072025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 10445072025 in words is "ten billion, four hundred forty-five million, seventy-two thousand, twenty-five".

Divisors: 1 3 5 15 25 47 75 141 235 705 827 1175 2481 3525 3583 4135 10749 12405 17915 20675 38869 53745 62025 89575 116607 168401 194345 268725 505203 583035 842005 971725 2526015 2915175 2963141 4210025 8889423 12630075 14815705 44447115 74078525 139267627 222235575 417802881 696338135 2089014405 3481690675 10445072025