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83086080000000 = 214357711281
BaseRepresentation
bin10010111001000011111100…
…010010001100000000000000
3101220011221200202211101010020
4102321003330102030000000
541342240242440000000
6452413115045133440
723333525342240520
oct2271037422140000
9356157622741106
1083086080000000
1124523677123990
12939a7800ba280
133748ca332305c
14167355dcdb680
159913d62d7ba0
hex4b90fc48c000

83086080000000 has 1920 divisors, whose sum is σ = 346510137931776. Its totient is φ = 17203200000000.

The previous prime is 83086079999963. The next prime is 83086080000041. The reversal of 83086080000000 is 8068038.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 56200 × 46200 × 32000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 295679999860 + ... + 295680000140.

Almost surely, 283086080000000 is an apocalyptic number.

83086080000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83086080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173255068965888).

83086080000000 is an abundant number, since it is smaller than the sum of its proper divisors (263424057931776).

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

83086080000000 is an frugal number, since it uses more digits than its factorization.

83086080000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 83086080000000 its reverse (8068038), we get a palindrome (83086088068038).

The spelling of 83086080000000 in words is "eighty-three trillion, eighty-six billion, eighty million", and thus it is an aban number and an uban number.