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93242663334 = 232377313713999
BaseRepresentation
bin101011011010110110…
…0100010000110100110
322220200020112001222100
41112311230202012212
53011430110211314
6110500213512530
76510432363342
oct1266554420646
9286606461870
1093242663334
11365a9064047
12160a2942746
138a3c87a992
144727830622
15265ada5c09
hex15b5b221a6

93242663334 has 96 divisors (see below), whose sum is σ = 211878576000. Its totient is φ = 29606777856.

The previous prime is 93242663329. The next prime is 93242663347. The reversal of 93242663334 is 43336624239.

93242663334 is a `hidden beast` number, since 9 + 3 + 2 + 4 + 2 + 6 + 633 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 93242663334.

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, 6653667 + ... + 6667665.

It is an arithmetic number, because the mean of its divisors is an integer number (2207068500).

Almost surely, 293242663334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93242663334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105939288000).

93242663334 is an abundant number, since it is smaller than the sum of its proper divisors (118635912666).

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

93242663334 is a wasteful number, since it uses less digits than its factorization.

93242663334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14254 (or 14251 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The spelling of 93242663334 in words is "ninety-three billion, two hundred forty-two million, six hundred sixty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 73 74 111 137 146 219 222 274 333 411 438 657 666 822 1233 1314 2466 2701 5069 5402 8103 10001 10138 13999 15207 16206 20002 24309 27998 30003 30414 41997 45621 48618 60006 83994 90009 91242 125991 180018 251982 370037 517963 740074 1021927 1035926 1110111 1553889 1917863 2043854 2220222 3065781 3107778 3330333 3835726 4661667 5753589 6131562 6660666 9197343 9323334 11507178 17260767 18394686 34521534 37811299 70960931 75622598 113433897 140003999 141921862 212882793 226867794 280007998 340301691 420011997 425765586 638648379 680603382 840023994 1260035991 1277296758 2520071982 5180147963 10360295926 15540443889 31080887778 46621331667 93242663334