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293504900661 = 3274658807947
BaseRepresentation
bin1000100010101100100…
…00010101111000110101
31001001120212020210110100
410101112100111320311
514302044223310121
6342500112344313
730130216330560
oct4212620257065
91031525223410
10293504900661
11103524957005
1248a72245099
13218a630556b
14102c46954d7
15797c37a026
hex4456415e35

293504900661 has 12 divisors (see below), whose sum is σ = 484516026592. Its totient is φ = 167717086056.

The previous prime is 293504900641. The next prime is 293504900693. The reversal of 293504900661 is 166009405392.

It is not a de Polignac number, because 293504900661 - 29 = 293504900149 is a prime.

It is a super-2 number, since 2×2935049006612 (a number of 24 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 (293504900641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2329403911 + ... + 2329404036.

Almost surely, 2293504900661 is an apocalyptic number.

293504900661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

293504900661 is a deficient number, since it is larger than the sum of its proper divisors (191011125931).

293504900661 is a wasteful number, since it uses less digits than its factorization.

293504900661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658807960 (or 4658807957 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 293504900661 in words is "two hundred ninety-three billion, five hundred four million, nine hundred thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 63 4658807947 13976423841 32611655629 41929271523 97834966887 293504900661