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93123642042 = 232194347134731
BaseRepresentation
bin101011010111010011…
…0100000001010111010
322220100221120011110100
41112232212200022322
53011204123021132
6110440322500230
76504455616444
oct1265646401272
9286327504410
1093123642042
1136547960642
121606ab04676
138a21007392
144715acb494
1526506e537c
hex15ae9a02ba

93123642042 has 96 divisors (see below), whose sum is σ = 221952107520. Its totient is φ = 28112222880.

The previous prime is 93123642019. The next prime is 93123642047. The reversal of 93123642042 is 24024632139.

93123642042 is a `hidden beast` number, since 9 + 3 + 1 + 2 + 3 + 642 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 93123641988 and 93123642006.

It is not an unprimeable number, because it can be changed into a prime (93123642047) 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, 623817 + ... + 758547.

It is an arithmetic number, because the mean of its divisors is an integer number (2312001120).

Almost surely, 293123642042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93123642042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110976053760).

93123642042 is an abundant number, since it is smaller than the sum of its proper divisors (128828465478).

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

93123642042 is a wasteful number, since it uses less digits than its factorization.

93123642042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134848 (or 134845 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 93123642042 in words is "ninety-three billion, one hundred twenty-three million, six hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 43 47 57 86 94 114 129 141 171 258 282 342 387 423 774 817 846 893 1634 1786 2021 2451 2679 4042 4902 5358 6063 7353 8037 12126 14706 16074 18189 36378 38399 76798 115197 134731 230394 269462 345591 404193 691182 808386 1212579 2425158 2559889 5119778 5793433 6332357 7679667 11586866 12664714 15359334 17380299 18997071 23039001 34760598 37994142 46078002 52140897 56991213 104281794 110075227 113982426 120314783 220150454 240629566 272291351 330225681 360944349 544582702 660451362 721888698 816874053 990677043 1082833047 1633748106 1981354086 2165666094 2450622159 4901244318 5173535669 10347071338 15520607007 31041214014 46561821021 93123642042