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83026452480 = 2133523291013
BaseRepresentation
bin100110101010011000…
…0110010000000000000
321221022020220210022120
41031110300302000000
52330014232434410
6102050345004240
75666321126136
oct1152460620000
9257266823276
1083026452480
11322362a4684
1214111483680
137aa214b6ba
144038aa9756
15225e03a570
hex1354c32000

83026452480 has 448 divisors, whose sum is σ = 287061615360. Its totient is φ = 20427309056.

The previous prime is 83026452469. The next prime is 83026452499. The reversal of 83026452480 is 8425462038.

It is a super-2 number, since 2×830264524802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81960454 + ... + 81961466.

Almost surely, 283026452480 is an apocalyptic number.

83026452480 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 83026452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143530807680).

83026452480 is an abundant number, since it is smaller than the sum of its proper divisors (204035162880).

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

83026452480 is a wasteful number, since it uses less digits than its factorization.

83026452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 83026452480 in words is "eighty-three billion, twenty-six million, four hundred fifty-two thousand, four hundred eighty".