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34929922801 is a prime number
BaseRepresentation
bin100000100001111111…
…000101001011110001
310100011022210221002111
4200201333011023301
51033014030012201
624014021245321
72344411305424
oct404177051361
9110138727074
1034929922801
11138a5037aa4
126929b63841
1333a8858c97
1419950a79bb
15d9683bb51
hex821fc52f1

34929922801 has 2 divisors, whose sum is σ = 34929922802. Its totient is φ = 34929922800.

The previous prime is 34929922771. The next prime is 34929922837. The reversal of 34929922801 is 10822992943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34215750625 + 714172176 = 184975^2 + 26724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34929922801 is a prime.

It is not a weakly prime, because it can be changed into another prime (34929922891) 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 as a sum of consecutive naturals, namely, 17464961400 + 17464961401.

It is an arithmetic number, because the mean of its divisors is an integer number (17464961401).

Almost surely, 234929922801 is an apocalyptic number.

It is an amenable number.

34929922801 is a deficient number, since it is larger than the sum of its proper divisors (1).

34929922801 is an equidigital number, since it uses as much as digits as its factorization.

34929922801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 49.

It can be divided in two parts, 349299 and 22801, that added together give a square (372100 = 6102).

The spelling of 34929922801 in words is "thirty-four billion, nine hundred twenty-nine million, nine hundred twenty-two thousand, eight hundred one".