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345973527969 = 31923263900479
BaseRepresentation
bin1010000100011011010…
…00010001010110100001
31020002000111020020010020
411002031220101112201
521132023210343334
6422534341224053
733665355315516
oct5021550212641
91202014206106
10345973527969
111237aa045313
1257075a02029
132681863b9b4
1412a60bcb30d
158eed7eee49
hex508da115a1

345973527969 has 16 divisors (see below), whose sum is σ = 506688921600. Its totient is φ = 209009178576.

The previous prime is 345973527943. The next prime is 345973528001. The reversal of 345973527969 is 969725379543.

It is not a de Polignac number, because 345973527969 - 213 = 345973519777 is a prime.

It is a super-2 number, since 2×3459735279692 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (345973527469) 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, 131948929 + ... + 131951550.

It is an arithmetic number, because the mean of its divisors is an integer number (31668057600).

Almost surely, 2345973527969 is an apocalyptic number.

It is an amenable number.

345973527969 is a deficient number, since it is larger than the sum of its proper divisors (160715393631).

345973527969 is a wasteful number, since it uses less digits than its factorization.

345973527969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263900524.

The product of its digits is 385786800, while the sum is 69.

The spelling of 345973527969 in words is "three hundred forty-five billion, nine hundred seventy-three million, five hundred twenty-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 19 23 57 69 437 1311 263900479 791701437 5014109101 6069711017 15042327303 18209133051 115324509323 345973527969