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2742023761 = 591131932131
BaseRepresentation
bin1010001101101111…
…1111011001010001
321002002121020110121
42203123333121101
521103424230021
61132031030241
7124643550241
oct24333773121
97062536417
102742023761
11118788a044
1264636b381
1334910b489
141c0251b21
15110ad6741
hexa36ff651

2742023761 has 16 divisors (see below), whose sum is σ = 2829078720. Its totient is φ = 2656604160.

The previous prime is 2742023759. The next prime is 2742023813. The reversal of 2742023761 is 1673202472.

It is a cyclic number.

It is not a de Polignac number, because 2742023761 - 21 = 2742023759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2742083761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285666 + ... + 1287796.

It is an arithmetic number, because the mean of its divisors is an integer number (176817420).

Almost surely, 22742023761 is an apocalyptic number.

It is an amenable number.

2742023761 is a deficient number, since it is larger than the sum of its proper divisors (87054959).

2742023761 is a wasteful number, since it uses less digits than its factorization.

2742023761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 2742023761 is about 52364.3367283498. The cubic root of 2742023761 is about 1399.6638242140.

The spelling of 2742023761 in words is "two billion, seven hundred forty-two million, twenty-three thousand, seven hundred sixty-one".

Divisors: 1 59 113 193 2131 6667 11387 21809 125729 240803 411283 1286731 14207377 24265697 46474979 2742023761