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83251869090 = 235132171396949
BaseRepresentation
bin100110110001000110…
…0101011010110100010
321221212222002010202220
41031202030223112202
52330444434302330
6102125000251510
76005026132335
oct1154214532642
9257788063686
1083251869090
11323415674a5
1214174a70b96
137b09a64700
14405a9c661c
152273c15710
hex136232b5a2

83251869090 has 192 divisors, whose sum is σ = 230764464000. Its totient is φ = 19145797632.

The previous prime is 83251869089. The next prime is 83251869119. The reversal of 83251869090 is 9096815238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 11976936 + ... + 11983884.

It is an arithmetic number, because the mean of its divisors is an integer number (1201898250).

Almost surely, 283251869090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83251869090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115382232000).

83251869090 is an abundant number, since it is smaller than the sum of its proper divisors (147512594910).

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

83251869090 is a wasteful number, since it uses less digits than its factorization.

83251869090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 83251869090 in words is "eighty-three billion, two hundred fifty-one million, eight hundred sixty-nine thousand, ninety".