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92734805106 = 232312115631399
BaseRepresentation
bin101011001011101101…
…1001101010001110010
322212100211220012110100
41112113123031101302
53004410102230411
6110333552413230
76462024560166
oct1262733152162
9285324805410
1092734805106
113636841a6a9
1215b80847216
13898b5a3b58
1446ba1d0ca6
15262b4d9456
hex15976cd472

92734805106 has 96 divisors (see below), whose sum is σ = 208909209600. Its totient is φ = 29698552800.

The previous prime is 92734805041. The next prime is 92734805113. The reversal of 92734805106 is 60150843729.

92734805106 is a `hidden beast` number, since 9 + 27 + 34 + 80 + 510 + 6 = 666.

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, 66285795 + ... + 66287193.

It is an arithmetic number, because the mean of its divisors is an integer number (2176137600).

It is a 1-persistent number, because it is pandigital, but 2⋅92734805106 = 185469610212 is not.

Almost surely, 292734805106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92734805106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104454604800).

92734805106 is an abundant number, since it is smaller than the sum of its proper divisors (116174404494).

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

92734805106 is a wasteful number, since it uses less digits than its factorization.

92734805106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 92734805106 in words is "ninety-two billion, seven hundred thirty-four million, eight hundred five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 186 211 279 422 558 563 633 1126 1266 1399 1689 1899 2798 3378 3798 4197 5067 6541 8394 10134 12591 13082 17453 19623 25182 34906 39246 43369 52359 58869 86738 104718 117738 118793 130107 157077 237586 260214 295189 314154 356379 390321 590378 712758 780642 787637 885567 1069137 1575274 1771134 2138274 2362911 2656701 3682583 4725822 5313402 7088733 7365166 9150859 11047749 14177466 18301718 22095498 24416747 27452577 33143247 48833494 54905154 66286494 73250241 82357731 146500482 164715462 166191407 219750723 332382814 439501446 498574221 997148442 1495722663 2991445326 5151933617 10303867234 15455800851 30911601702 46367402553 92734805106