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42152656897 = 13295313211597
BaseRepresentation
bin100111010000011111…
…101000000000000001
311000210200122211121201
4213100133220000001
51142312040010042
631210433421201
73021403446301
oct472037500001
9130720584551
1042152656897
111697109202a
128204a0a801
133c8a048c40
14207c443601
15116a9a11b7
hex9d07e8001

42152656897 has 32 divisors (see below), whose sum is σ = 47912770080. Its totient is φ = 36808611840.

The previous prime is 42152656879. The next prime is 42152656919. The reversal of 42152656897 is 79865625124.

It can be written as a sum of positive squares in 16 ways, for example, as 5435965441 + 36716691456 = 73729^2 + 191616^2 .

It is not a de Polignac number, because 42152656897 - 219 = 42152132609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42152656097) 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 31 ways as a sum of consecutive naturals, for example, 26394103 + ... + 26395699.

It is an arithmetic number, because the mean of its divisors is an integer number (1497274065).

Almost surely, 242152656897 is an apocalyptic number.

It is an amenable number.

42152656897 is a deficient number, since it is larger than the sum of its proper divisors (5760113183).

42152656897 is a wasteful number, since it uses less digits than its factorization.

42152656897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013.

The product of its digits is 7257600, while the sum is 55.

The spelling of 42152656897 in words is "forty-two billion, one hundred fifty-two million, six hundred fifty-six thousand, eight hundred ninety-seven".

Divisors: 1 13 29 53 377 689 1321 1537 1597 17173 19981 20761 38309 46313 70013 84641 498017 602069 910169 1100333 2030377 2109637 2454589 26394901 27425281 31909657 61179473 111810761 795333149 1453539893 3242512069 42152656897