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42958370025 = 3252190926089
BaseRepresentation
bin101000000000100001…
…001011010011101001
311002212211202022020200
4220000201023103221
51200434320320100
631422414542413
73050356056204
oct500041132351
9132784668220
1042958370025
111724497524a
1283aa807a09
134087c4c37c
14211745893b
1511b65a5e00
hexa0084b4e9

42958370025 has 18 divisors (see below), whose sum is σ = 76943214270. Its totient is φ = 22911130560.

The previous prime is 42958370011. The next prime is 42958370027. The reversal of 42958370025 is 52007385924.

42958370025 is a `hidden beast` number, since 42 + 9 + 583 + 7 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13945720464 + 29012649561 = 118092^2 + 170331^2 .

It is not a de Polignac number, because 42958370025 - 27 = 42958369897 is a prime.

It is a super-3 number, since 3×429583700253 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42958370027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95462820 + ... + 95463269.

It is an arithmetic number, because the mean of its divisors is an integer number (4274623015).

Almost surely, 242958370025 is an apocalyptic number.

42958370025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42958370025 is a deficient number, since it is larger than the sum of its proper divisors (33984844245).

42958370025 is a wasteful number, since it uses less digits than its factorization.

42958370025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190926105 (or 190926097 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 42958370025 in words is "forty-two billion, nine hundred fifty-eight million, three hundred seventy thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 190926089 572778267 954630445 1718334801 2863891335 4773152225 8591674005 14319456675 42958370025