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94834932084 = 22334122219643
BaseRepresentation
bin101100001010010011…
…0100011100101110100
3100001210012122201002000
41120110212203211310
53023210220311314
6111322213415300
76565045423314
oct1302446434564
9301705581060
1094834932084
1137245935132
121646803a530
138c34707739
1448390b1444
152700a79209
hex16149a3974

94834932084 has 96 divisors (see below), whose sum is σ = 252004663680. Its totient is φ = 30823545600.

The previous prime is 94834932083. The next prime is 94834932097. The reversal of 94834932084 is 48023943849.

94834932084 is a `hidden beast` number, since 94 + 8 + 349 + 3 + 208 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 94834932084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94834932083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9829767 + ... + 9839409.

It is an arithmetic number, because the mean of its divisors is an integer number (2625048580).

Almost surely, 294834932084 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 94834932084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126002331840).

94834932084 is an abundant number, since it is smaller than the sum of its proper divisors (157169731596).

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

94834932084 is a wasteful number, since it uses less digits than its factorization.

94834932084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 94834932084 in words is "ninety-four billion, eight hundred thirty-four million, nine hundred thirty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 2221 4428 4442 6663 8884 9643 13326 19286 19989 26652 28929 38572 39978 57858 59967 79956 86787 91061 115716 119934 173574 182122 239868 260361 273183 347148 364244 395363 520722 546366 790726 819549 1041444 1092732 1186089 1581452 1639098 2372178 2458647 3278196 3558267 4744356 4917294 7116534 9834588 10674801 14233068 21349602 21417103 42699204 42834206 64251309 85668412 128502618 192753927 257005236 385507854 578261781 771015708 878101223 1156523562 1756202446 2313047124 2634303669 3512404892 5268607338 7902911007 10537214676 15805822014 23708733021 31611644028 47417466042 94834932084