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42145656525 = 3252726759147
BaseRepresentation
bin100111010000000100…
…111010111011001101
311000210012111011220200
4213100010322323031
51142303242002100
631210023404113
73021260112120
oct472004727315
9130705434820
1042145656525
11169681405a5
1282025b3639
133c887677cb
14207b5403b7
15116a06be00
hex9d013aecd

42145656525 has 36 divisors (see below), whose sum is σ = 86271493152. Its totient is φ = 19266585120.

The previous prime is 42145656523. The next prime is 42145656533. The reversal of 42145656525 is 52565654124.

42145656525 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 565 + 65 + 25 = 666.

42145656525 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 42145656525 - 21 = 42145656523 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42145656523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13377999 + ... + 13381148.

Almost surely, 242145656525 is an apocalyptic number.

42145656525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42145656525 is an abundant number, since it is smaller than the sum of its proper divisors (44125836627).

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

42145656525 is a wasteful number, since it uses less digits than its factorization.

42145656525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26759170 (or 26759162 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 42145656525 in words is "forty-two billion, one hundred forty-five million, six hundred fifty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 26759147 80277441 133795735 187314029 240832323 401387205 561942087 668978675 936570145 1204161615 1685826261 2006936025 2809710435 4682850725 6020808075 8429131305 14048552175 42145656525