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83008681392 = 243713192343487
BaseRepresentation
bin100110101001110110…
…0111111010110110000
321221021000110220222010
41031103230333112300
52330000210301032
6102044512042520
75666014102320
oct1152354772660
9257230426863
1083008681392
1132227266a2a
1214107533440
137a9b568970
1440365a1280
15225c6c9ccc
hex1353b3f5b0

83008681392 has 320 divisors, whose sum is σ = 289901445120. Its totient is φ = 19837965312.

The previous prime is 83008681391. The next prime is 83008681429. The reversal of 83008681392 is 29318680038.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83008681391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887073 + ... + 1930559.

It is an arithmetic number, because the mean of its divisors is an integer number (905942016).

Almost surely, 283008681392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83008681392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144950722560).

83008681392 is an abundant number, since it is smaller than the sum of its proper divisors (206892763728).

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

83008681392 is a wasteful number, since it uses less digits than its factorization.

83008681392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43560 (or 43554 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 83008681392 in words is "eighty-three billion, eight million, six hundred eighty-one thousand, three hundred ninety-two".