Search a number
-
+
96346918404 = 223211247032
BaseRepresentation
bin101100110111010111…
…0010100111000000100
3100012200120201120101100
41121232232110320010
53034304302342104
6112132224500100
76650365202562
oct1315656247004
9305616646340
1096346918404
1137951361900
121680a47a630
139115a356b9
14493dc14a32
15278d690139
hex166eb94e04

96346918404 has 81 divisors (see below), whose sum is σ = 267753616039. Its totient is φ = 29189827920.

The previous prime is 96346918397. The next prime is 96346918463. The reversal of 96346918404 is 40481964369.

It is a happy number.

The square root of 96346918404 is 310398.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20483917 + ... + 20488619.

Almost surely, 296346918404 is an apocalyptic number.

96346918404 is the 310398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96346918404

96346918404 is an abundant number, since it is smaller than the sum of its proper divisors (171406697635).

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

96346918404 is a wasteful number, since it uses less digits than its factorization.

96346918404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 96346918404 in words is "ninety-six billion, three hundred forty-six million, nine hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4703 9406 14109 18812 28218 42327 51733 56436 84654 103466 155199 169308 206932 310398 465597 569063 620796 931194 1138126 1707189 1862388 2276252 3414378 5121567 6828756 10243134 20486268 22118209 44236418 66354627 88472836 132709254 199063881 243300299 265418508 398127762 486600598 729900897 796255524 973201196 1459801794 2189702691 2676303289 2919603588 4379405382 5352606578 8028909867 8758810764 10705213156 16057819734 24086729601 32115639468 48173459202 96346918404