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34719093753 = 389900714437
BaseRepresentation
bin100000010101011010…
…110101001111111001
310022121122002201000020
4200111122311033321
51032101042000003
623541050401053
72336241266451
oct402532651771
9108548081006
1034719093753
11137a7029013
12688b430189
133373c7c976
1419750a6d61
15d83093d53
hex8156b53f9

34719093753 has 16 divisors (see below), whose sum is σ = 46820701440. Its totient is φ = 22881868416.

The previous prime is 34719093751. The next prime is 34719093763. The reversal of 34719093753 is 35739091743.

It is a happy number.

It is not a de Polignac number, because 34719093753 - 21 = 34719093751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34719093696 and 34719093705.

It is not an unprimeable number, because it can be changed into a prime (34719093751) 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, 2397651 + ... + 2412087.

It is an arithmetic number, because the mean of its divisors is an integer number (2926293840).

Almost surely, 234719093753 is an apocalyptic number.

It is an amenable number.

34719093753 is a deficient number, since it is larger than the sum of its proper divisors (12101607687).

34719093753 is a wasteful number, since it uses less digits than its factorization.

34719093753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23536.

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 34719093753 in words is "thirty-four billion, seven hundred nineteen million, ninety-three thousand, seven hundred fifty-three".

Divisors: 1 3 89 267 9007 14437 27021 43311 801623 1284893 2404869 3854679 130034059 390102177 11573031251 34719093753