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82373146674 = 237213471393299
BaseRepresentation
bin100110010110111010…
…0100111100000110010
321212121201121102020020
41030231310213200302
52322200011143144
6101501450224310
75644166123400
oct1145564474062
9255551542206
1082373146674
1131a30548325
1213b6a725096
1379c99aab10
143db6008470
1522219dd419
hex132dd27832

82373146674 has 192 divisors, whose sum is σ = 212357376000. Its totient is φ = 21103189632.

The previous prime is 82373146651. The next prime is 82373146729. The reversal of 82373146674 is 47664137328.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24967477 + ... + 24970775.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028000).

Almost surely, 282373146674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82373146674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688000).

82373146674 is an abundant number, since it is smaller than the sum of its proper divisors (129984229326).

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

82373146674 is a wasteful number, since it uses less digits than its factorization.

82373146674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3510 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 82373146674 in words is "eighty-two billion, three hundred seventy-three million, one hundred forty-six thousand, six hundred seventy-four".