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816096696 = 233172971213
BaseRepresentation
bin110000101001001…
…010010110111000
32002212122000012120
4300221022112320
53132410043241
6212551441240
726136464442
oct6051122670
92085560176
10816096696
11389735588
121a9386220
131000ca76c
147a559492
154b9a6666
hex30a4a5b8

816096696 has 96 divisors (see below), whose sum is σ = 2191464240. Its totient is φ = 253181952.

The previous prime is 816096667. The next prime is 816096739. The reversal of 816096696 is 696690618.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672186 + ... + 673398.

Almost surely, 2816096696 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 816096696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095732120).

816096696 is an abundant number, since it is smaller than the sum of its proper divisors (1375367544).

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

816096696 is a wasteful number, since it uses less digits than its factorization.

816096696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 816096696 is about 28567.4061825711. The cubic root of 816096696 is about 934.5026556101.

The spelling of 816096696 in words is "eight hundred sixteen million, ninety-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 194 204 289 291 388 408 578 582 776 867 1156 1164 1213 1649 1734 2312 2328 2426 3298 3468 3639 4852 4947 6596 6936 7278 9704 9894 13192 14556 19788 20621 28033 29112 39576 41242 56066 61863 82484 84099 112132 117661 123726 164968 168198 224264 235322 247452 336396 350557 352983 470644 494904 672792 701114 705966 941288 1051671 1402228 1411932 2000237 2103342 2804456 2823864 4000474 4206684 6000711 8000948 8413368 12001422 16001896 24002844 34004029 48005688 68008058 102012087 136016116 204024174 272032232 408048348 816096696