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83983072032 = 2532291607889
BaseRepresentation
bin100111000110111000…
…1111111101100100000
322000202220222002122100
41032031301333230200
52333444131301112
6102325320410400
76032115222336
oct1161561775440
9260686862570
1083983072032
1132687289052
1214339916a00
137bc53aa482
1440c9b63b56
1522b7eed2dc
hex138dc7fb20

83983072032 has 36 divisors (see below), whose sum is σ = 238826861910. Its totient is φ = 27994357248.

The previous prime is 83983071941. The next prime is 83983072039. The reversal of 83983072032 is 23027038938.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 64213587216 + 19769484816 = 253404^2 + 140604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (83983072039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145803657 + ... + 145804232.

Almost surely, 283983072032 is an apocalyptic number.

It is an amenable number.

83983072032 is an abundant number, since it is smaller than the sum of its proper divisors (154843789878).

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

83983072032 is a wasteful number, since it uses less digits than its factorization.

83983072032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291607905 (or 291607894 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 83983072032 in words is "eighty-three billion, nine hundred eighty-three million, seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 291607889 583215778 874823667 1166431556 1749647334 2332863112 2624471001 3499294668 4665726224 5248942002 6998589336 9331452448 10497884004 13997178672 20995768008 27994357344 41991536016 83983072032