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32020019982 = 2336758715077
BaseRepresentation
bin11101110100100010…
…101011101100001110
310001122112022112212000
4131310202223230032
51011034111114412
622413152053130
72212325451636
oct356442535416
9101575275760
1032020019982
1112641514a35
1262575341a6
133033a2b9b2
14179a8356c6
15c761434dc
hex7748abb0e

32020019982 has 64 divisors (see below), whose sum is σ = 72345450240. Its totient is φ = 10495428768.

The previous prime is 32020019929. The next prime is 32020019989. The reversal of 32020019982 is 28991002023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32020019989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2116228 + ... + 2131304.

It is an arithmetic number, because the mean of its divisors is an integer number (1130397660).

Almost surely, 232020019982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32020019982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36172725120).

32020019982 is an abundant number, since it is smaller than the sum of its proper divisors (40325430258).

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

32020019982 is a wasteful number, since it uses less digits than its factorization.

32020019982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 32020019982 in words is "thirty-two billion, twenty million, nineteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 587 603 1174 1206 1761 1809 3522 3618 5283 10566 15077 15849 30154 31698 39329 45231 78658 90462 117987 135693 235974 271386 353961 407079 707922 814158 1010159 1061883 2020318 2123766 3030477 6060954 8850199 9091431 17700398 18182862 26550597 27274293 53101194 54548586 79651791 159303582 238955373 477910746 592963333 1185926666 1778889999 3557779998 5336669997 10673339994 16010009991 32020019982