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34932422401061 = 1737252122029529
BaseRepresentation
bin1111111000101010101101…
…01000001101110000100101
311120200111200120122011120112
413330111112220031300211
514034313100113313221
6202143422221142405
710233532664134433
oct774252650156045
9146614616564515
1034932422401061
1110148836839299
123b021796baa05
131665161bb8a83
1488aa49b2bd53
15408a148d815b
hex1fc556a0dc25

34932422401061 has 16 divisors (see below), whose sum is σ = 38001996667440. Its totient is φ = 31976300482560.

The previous prime is 34932422401001. The next prime is 34932422401171. The reversal of 34932422401061 is 16010422423943.

It can be written as a sum of positive squares in 8 ways, for example, as 1911665716900 + 33020756684161 = 1382630^2 + 5746369^2 .

It is a cyclic number.

It is not a de Polignac number, because 34932422401061 - 210 = 34932422400037 is a prime.

It is a super-2 number, since 2×349324224010612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34932422401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9429056 + ... + 12600473.

It is an arithmetic number, because the mean of its divisors is an integer number (2375124791715).

Almost surely, 234932422401061 is an apocalyptic number.

It is an amenable number.

34932422401061 is a deficient number, since it is larger than the sum of its proper divisors (3069574266379).

34932422401061 is a wasteful number, since it uses less digits than its factorization.

34932422401061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032104.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 34932422401061 in words is "thirty-four trillion, nine hundred thirty-two billion, four hundred twenty-two million, four hundred one thousand, sixty-one".

Divisors: 1 17 37 629 2521 42857 93277 1585709 22029529 374501993 815092573 13856573741 55536442609 944119524353 2054848376533 34932422401061