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61683082960 = 245771038537
BaseRepresentation
bin111001011100100110…
…010010011011010000
312220012210121021112011
4321130212102123100
52002311332123320
644200430312304
74312364361052
oct713446223320
9186183537464
1061683082960
1124183546214
12bb55658694
135a80362675
142db22138d2
1519103b405a
hexe5c9926d0

61683082960 has 20 divisors (see below), whose sum is σ = 143413168068. Its totient is φ = 24673233152.

The previous prime is 61683082957. The next prime is 61683083017. The reversal of 61683082960 is 6928038616.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12596021824 + 49087061136 = 112232^2 + 221556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 385519189 + ... + 385519348.

Almost surely, 261683082960 is an apocalyptic number.

It is an amenable number.

61683082960 is an abundant number, since it is smaller than the sum of its proper divisors (81730085108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61683082960 is a wasteful number, since it uses less digits than its factorization.

61683082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771038550 (or 771038544 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 61683082960 in words is "sixty-one billion, six hundred eighty-three million, eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 771038537 1542077074 3084154148 3855192685 6168308296 7710385370 12336616592 15420770740 30841541480 61683082960