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83393339418 = 232172350923279
BaseRepresentation
bin100110110101010100…
…0010110000000011010
321222020211021120120200
41031222220112000122
52331242143330133
6102151012403030
76011364455304
oct1155250260032
9258224246520
1083393339418
1132404403224
12141b4316476
137b3016806c
1440716d0974
15228135c913
hex136aa1601a

83393339418 has 96 divisors (see below), whose sum is σ = 200032934400. Its totient is φ = 24974873088.

The previous prime is 83393339417. The next prime is 83393339423. The reversal of 83393339418 is 81493339338.

It is not an unprimeable number, because it can be changed into a prime (83393339411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3570703 + ... + 3593981.

It is an arithmetic number, because the mean of its divisors is an integer number (2083676400).

Almost surely, 283393339418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83393339418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100016467200).

83393339418 is an abundant number, since it is smaller than the sum of its proper divisors (116639594982).

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

83393339418 is a wasteful number, since it uses less digits than its factorization.

83393339418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23836 (or 23833 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 83393339418 in words is "eighty-three billion, three hundred ninety-three million, three hundred thirty-nine thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 509 782 1018 1173 1527 2346 3054 3519 4581 7038 8653 9162 11707 17306 23279 23414 25959 35121 46558 51918 69837 70242 77877 105363 139674 155754 199019 209511 210726 395743 398038 419022 535417 597057 791486 1070834 1187229 1194114 1606251 1791171 2374458 3212502 3561687 3582342 4818753 7123374 9102089 9637506 11849011 18204178 23698022 27306267 35547033 54612534 71094066 81918801 106641099 163837602 201433187 213282198 272527253 402866374 545054506 604299561 817581759 1208599122 1635163518 1812898683 2452745277 3625797366 4632963301 4905490554 9265926602 13898889903 27797779806 41696669709 83393339418