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96815738268 = 2235195719181
BaseRepresentation
bin101101000101010101…
…0101110110110011100
3100020220020220002100000
41122022222232312130
53041234312111033
6112250533134300
76665120124414
oct1321252566634
9306806802300
1096815738268
1138071a62137
121691b48a390
13918bbc15c2
1449861b1644
1527b98e9a13
hex168aaaed9c

96815738268 has 144 divisors (see below), whose sum is σ = 267647219840. Its totient is φ = 30516523200.

The previous prime is 96815738251. The next prime is 96815738359. The reversal of 96815738268 is 86283751869.

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, 10540638 + ... + 10549818.

Almost surely, 296815738268 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 96815738268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133823609920).

96815738268 is an abundant number, since it is smaller than the sum of its proper divisors (170831481572).

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

96815738268 is a wasteful number, since it uses less digits than its factorization.

96815738268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790 (or 9776 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 96815738268 in words is "ninety-six billion, eight hundred fifteen million, seven hundred thirty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 571 684 972 1026 1142 1539 1713 2052 2284 3078 3426 4617 5139 6156 6852 9181 9234 10278 10849 15417 18362 18468 20556 21698 27543 30834 32547 36724 43396 46251 55086 61668 65094 82629 92502 97641 110172 130188 138753 165258 174439 185004 195282 247887 277506 292923 330516 348878 390564 495774 523317 555012 585846 697756 743661 878769 991548 1046634 1171692 1487322 1569951 1757538 2093268 2230983 2636307 2974644 3139902 3515076 4461966 4709853 5242351 5272614 6279804 8923932 9419706 10484702 10545228 14129559 15727053 18839412 20969404 28259118 31454106 42388677 47181159 56518236 62908212 84777354 94362318 99604669 141543477 169554708 188724636 199209338 283086954 298814007 398418676 424630431 566173908 597628014 849260862 896442021 1195256028 1273891293 1698521724 1792884042 2547782586 2689326063 3585768084 5095565172 5378652126 8067978189 10757304252 16135956378 24203934567 32271912756 48407869134 96815738268