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93042499638 = 231121737919891
BaseRepresentation
bin101011010100111000…
…0111110000000110110
322220011021212201000010
41112221300332000312
53011022334442023
6110424303401050
76502452124614
oct1265160760066
9286137781003
1093042499638
113650607a100
12160478b3186
138a0a26701a
1447090086b4
152648518093
hex15a9c3e036

93042499638 has 96 divisors (see below), whose sum is σ = 217153802880. Its totient is φ = 26464838400.

The previous prime is 93042499637. The next prime is 93042499681. The reversal of 93042499638 is 83699424039.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93042499637) 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, 4667673 + ... + 4687563.

It is an arithmetic number, because the mean of its divisors is an integer number (2262018780).

Almost surely, 293042499638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93042499638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108576901440).

93042499638 is an abundant number, since it is smaller than the sum of its proper divisors (124111303242).

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

93042499638 is a wasteful number, since it uses less digits than its factorization.

93042499638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20314 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 93042499638 in words is "ninety-three billion, forty-two million, four hundred ninety-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 379 561 726 758 1122 1137 2057 2274 4114 4169 6171 6443 8338 12342 12507 12886 19329 19891 25014 38658 39782 45859 59673 70873 91718 119346 137577 141746 212619 218801 275154 338147 425238 437602 656403 676294 779603 1014441 1312806 1559206 2028882 2338809 2406811 3719617 4677618 4813622 7220433 7439234 7538689 11158851 14440866 15077378 22317702 22616067 40915787 45232134 81831574 82925579 122747361 128157713 165851158 245494722 248776737 256315426 384473139 497553474 768946278 912181369 1409734843 1824362738 2736544107 2819469686 4229204529 5473088214 8458409058 15507083273 31014166546 46521249819 93042499638