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83158086396 = 223721131414737
BaseRepresentation
bin100110101110010011…
…0111011001011111100
321221122102121111002210
41031130212323023330
52330301432231041
6102111410220420
76002510033400
oct1153446731374
9257572544083
1083158086396
11322a3632140
1214149584710
137ac34b9aa8
14404c373100
15226a88d016
hex135c9bb2fc

83158086396 has 144 divisors (see below), whose sum is σ = 254177989632. Its totient is φ = 20902694400.

The previous prime is 83158086373. The next prime is 83158086419. The reversal of 83158086396 is 69368085138.

It is an interprime number because it is at equal distance from previous prime (83158086373) and next prime (83158086419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6861 + ... + 407876.

It is an arithmetic number, because the mean of its divisors is an integer number (1765124928).

Almost surely, 283158086396 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 83158086396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127088994816).

83158086396 is an abundant number, since it is smaller than the sum of its proper divisors (171019903236).

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

83158086396 is a wasteful number, since it uses less digits than its factorization.

83158086396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414800 (or 414791 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 83158086396 in words is "eighty-three billion, one hundred fifty-eight million, eighty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 124 132 147 154 186 196 217 231 294 308 341 372 434 462 539 588 651 682 868 924 1023 1078 1302 1364 1519 1617 2046 2156 2387 2604 3038 3234 4092 4557 4774 6076 6468 7161 9114 9548 14322 16709 18228 28644 33418 50127 66836 100254 200508 414737 829474 1244211 1658948 2488422 2903159 4562107 4976844 5806318 8709477 9124214 11612636 12856847 13686321 17418954 18248428 20322113 25713694 27372642 31934749 34837908 38570541 40644226 51427388 54745284 60966339 63869498 77141082 81288452 89997929 95804247 121932678 127738996 141425317 154282164 179995858 191608494 223543243 243865356 269993787 282850634 359991716 383216988 424275951 447086486 539987574 565701268 629985503 670629729 848551902 894172972 989977219 1079975148 1259971006 1341259458 1697103804 1889956509 1979954438 2519942012 2682518916 2969931657 3779913018 3959908876 5939863314 6929840533 7559826036 11879726628 13859681066 20789521599 27719362132 41579043198 83158086396