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34829632753 = 112351076073
BaseRepresentation
bin100000011100000000…
…100000010011110001
310022220100002200000021
4200130000200103301
51032312341222003
624000035523441
72342052664546
oct403400402361
9108810080007
1034829632753
1113853468663
126900459581
133390b43466
141985a3cbcd
15d8cb2b2bd
hex81c0204f1

34829632753 has 8 divisors (see below), whose sum is σ = 34873215008. Its totient is φ = 34786075104.

The previous prime is 34829632741. The next prime is 34829632769. The reversal of 34829632753 is 35723692843.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34829632753 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34829632753.

It is not an unprimeable number, because it can be changed into a prime (34829632703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5732125 + ... + 5738197.

It is an arithmetic number, because the mean of its divisors is an integer number (4359151876).

Almost surely, 234829632753 is an apocalyptic number.

It is an amenable number.

34829632753 is a deficient number, since it is larger than the sum of its proper divisors (43582255).

34829632753 is a wasteful number, since it uses less digits than its factorization.

34829632753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303.

The product of its digits is 6531840, while the sum is 52.

The spelling of 34829632753 in words is "thirty-four billion, eight hundred twenty-nine million, six hundred thirty-two thousand, seven hundred fifty-three".

Divisors: 1 1123 5107 6073 5735161 6819979 31014811 34829632753