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342455655753 = 32173449348953
BaseRepresentation
bin1001111101110111111…
…00101001110101001001
31012201221022201210122200
410332323330221311021
521102322121441003
6421153313110413
733512241021351
oct4767374516511
91181838653580
10342455655753
11122264320902
1256453858409
13263a78855c3
14128098d9b61
158d94a626a3
hex4fbbf29d49

342455655753 has 24 divisors (see below), whose sum is σ = 497638362312. Its totient is φ = 226928940288.

The previous prime is 342455655749. The next prime is 342455655799. The reversal of 342455655753 is 357556554243.

342455655753 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 5 + 5 + 65 + 575 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235965692169 + 106489963584 = 485763^2 + 326328^2 .

It is not a de Polignac number, because 342455655753 - 22 = 342455655749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 342455655753.

It is not an unprimeable number, because it can be changed into a prime (342455605753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6971125 + ... + 7020077.

It is an arithmetic number, because the mean of its divisors is an integer number (20734931763).

Almost surely, 2342455655753 is an apocalyptic number.

It is an amenable number.

342455655753 is a deficient number, since it is larger than the sum of its proper divisors (155182706559).

342455655753 is a wasteful number, since it uses less digits than its factorization.

342455655753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53625 (or 53622 counting only the distinct ones).

The product of its digits is 37800000, while the sum is 54.

The spelling of 342455655753 in words is "three hundred forty-two billion, four hundred fifty-five million, six hundred fifty-five thousand, seven hundred fifty-three".

Divisors: 1 3 9 173 519 1557 4493 13479 40437 48953 146859 440577 777289 2331867 6995601 8468869 25406607 76219821 219945829 659837487 1979512461 38050628417 114151885251 342455655753