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83413933240 = 23511316115391
BaseRepresentation
bin100110110101111011…
…0111001110010111000
321222022021000211222211
41031223312321302320
52331312431330430
6102153030024504
76012034506511
oct1155366716270
9258267024884
1083413933240
1132414a99710
12141bb1a8134
137b344c8861
144074331a08
15228307972a
hex136bdb9cb8

83413933240 has 64 divisors (see below), whose sum is σ = 211347947520. Its totient is φ = 29353872000.

The previous prime is 83413933237. The next prime is 83413933243. The reversal of 83413933240 is 4233931438.

It is an interprime number because it is at equal distance from previous prime (83413933237) and next prime (83413933243).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 83413933193 and 83413933202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83413933243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3044056 + ... + 3071335.

It is an arithmetic number, because the mean of its divisors is an integer number (3302311680).

Almost surely, 283413933240 is an apocalyptic number.

It is an amenable number.

83413933240 is an abundant number, since it is smaller than the sum of its proper divisors (127934014280).

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

83413933240 is a wasteful number, since it uses less digits than its factorization.

83413933240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115444 (or 6115440 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 83413933240 in words is "eighty-three billion, four hundred thirteen million, nine hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 6115391 12230782 24461564 30576955 48923128 61153910 67269301 122307820 134538602 189577121 244615640 269077204 336346505 379154242 538154408 672693010 758308484 947885605 1345386020 1516616968 1895771210 2085348331 2690772040 3791542420 4170696662 7583084840 8341393324 10426741655 16682786648 20853483310 41706966620 83413933240