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42077041957 = 1271517972753
BaseRepresentation
bin100111001011111111…
…001011010100100101
311000121102101012102101
4213023333023110211
51142133210320312
631155133012101
73016464645466
oct471377132445
9130542335371
1042077041957
1116932436445
1281a3624031
133c77492782
14207239cd6d
151164016a57
hex9cbfcb525

42077041957 has 16 divisors (see below), whose sum is σ = 42758295552. Its totient is φ = 41402188800.

The previous prime is 42077041933. The next prime is 42077041969. The reversal of 42077041957 is 75914077024.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42077041957 is a prime.

It is a super-2 number, since 2×420770419572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42077041927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15282693 + ... + 15285445.

It is an arithmetic number, because the mean of its divisors is an integer number (2672393472).

Almost surely, 242077041957 is an apocalyptic number.

It is an amenable number.

42077041957 is a deficient number, since it is larger than the sum of its proper divisors (681253595).

42077041957 is a wasteful number, since it uses less digits than its factorization.

42077041957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828.

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 42077041957 in words is "forty-two billion, seventy-seven million, forty-one thousand, nine hundred fifty-seven".

Divisors: 1 127 151 797 2753 19177 101219 120347 349631 415703 2194141 15284069 52794281 278655907 331315291 42077041957