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2929680999 = 32746502873
BaseRepresentation
bin1010111010011111…
…0110001001100111
321120011201012210200
42232213312021213
521444444242444
61202413121543
7132412610010
oct25647661147
97504635720
102929680999
111273801773
126991892b3
13378c6376b
141db140007
15122303969
hexae9f6267

2929680999 has 12 divisors (see below), whose sum is σ = 4836298896. Its totient is φ = 1674103392.

The previous prime is 2929680983. The next prime is 2929681037. The reversal of 2929680999 is 9990869292.

It is not a de Polignac number, because 2929680999 - 24 = 2929680983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 46502873 = 2929680999 / (2 + 9 + 2 + 9 + 6 + 8 + 0 + 9 + 9 + 9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2929680599) 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 11 ways as a sum of consecutive naturals, for example, 23251374 + ... + 23251499.

It is an arithmetic number, because the mean of its divisors is an integer number (403024908).

Almost surely, 22929680999 is an apocalyptic number.

2929680999 is a deficient number, since it is larger than the sum of its proper divisors (1906617897).

2929680999 is a wasteful number, since it uses less digits than its factorization.

2929680999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46502886 (or 46502883 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The square root of 2929680999 is about 54126.5276828285. The cubic root of 2929680999 is about 1430.8917448034.

The spelling of 2929680999 in words is "two billion, nine hundred twenty-nine million, six hundred eighty thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 21 63 46502873 139508619 325520111 418525857 976560333 2929680999