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42635165055 = 3573113098361
BaseRepresentation
bin100111101101010000…
…001111110101111111
311002001022120210101020
4213231100033311333
51144304100240210
631330351315223
73036352631520
oct475520176577
9132038523336
1042635165055
11170994915aa
12831a51bb13
134035cb8422
1420c6564847
151198011770
hex9ed40fd7f

42635165055 has 32 divisors (see below), whose sum is σ = 80476336128. Its totient is φ = 18861638400.

The previous prime is 42635165051. The next prime is 42635165071. The reversal of 42635165055 is 55056153624.

It is not a de Polignac number, because 42635165055 - 22 = 42635165051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42635164998 and 42635165016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42635165051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6545926 + ... + 6552435.

It is an arithmetic number, because the mean of its divisors is an integer number (2514885504).

Almost surely, 242635165055 is an apocalyptic number.

42635165055 is a deficient number, since it is larger than the sum of its proper divisors (37841171073).

42635165055 is a wasteful number, since it uses less digits than its factorization.

42635165055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13098407.

The product of its (nonzero) digits is 540000, while the sum is 42.

It can be divided in two parts, 42635 and 165055, that added together give a triangular number (207690 = T644).

The spelling of 42635165055 in words is "forty-two billion, six hundred thirty-five million, one hundred sixty-five thousand, fifty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 465 651 1085 3255 13098361 39295083 65491805 91688527 196475415 275065581 406049191 458442635 1218147573 1375327905 2030245955 2842344337 6090737865 8527033011 14211721685 42635165055