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83134996480 = 213531233281
BaseRepresentation
bin100110101101100111…
…0110110000000000000
321221120211011101200201
41031123032312000000
52330230024341410
6102105223254544
76002106545014
oct1153316660000
9257524141621
1083134996480
11322915a1368
12141418aa454
137abb794113
144049282544
15226882b83a
hex135b3b6000

83134996480 has 224 divisors, whose sum is σ = 207567629568. Its totient is φ = 31929139200.

The previous prime is 83134996471. The next prime is 83134996499. The reversal of 83134996480 is 8469943138.

It is a super-2 number, since 2×831349964802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295853940 + ... + 295854220.

Almost surely, 283134996480 is an apocalyptic number.

83134996480 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 83134996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783814784).

83134996480 is an abundant number, since it is smaller than the sum of its proper divisors (124432633088).

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

83134996480 is a wasteful number, since it uses less digits than its factorization.

83134996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 83134996480 in words is "eighty-three billion, one hundred thirty-four million, nine hundred ninety-six thousand, four hundred eighty".