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82297253376 = 2932131373819
BaseRepresentation
bin100110010100101001…
…1000110111000000000
321212102102210122012100
41030221103012320000
52322021044102001
6101450135430400
75642255053212
oct1145123067000
9255372718170
1082297253376
11319a1721598
1213b49225400
1379b7057a40
143da9cd05b2
152219eeb586
hex13294c6e00

82297253376 has 120 divisors (see below), whose sum is σ = 255786050520. Its totient is φ = 25322213376.

The previous prime is 82297253333. The next prime is 82297253393. The reversal of 82297253376 is 67335279228.

82297253376 is a `hidden beast` number, since 82 + 29 + 7 + 2 + 533 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627006 + ... + 746813.

It is an arithmetic number, because the mean of its divisors is an integer number (2131550421).

Almost surely, 282297253376 is an apocalyptic number.

It is an amenable number.

82297253376 is an abundant number, since it is smaller than the sum of its proper divisors (173488797144).

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

82297253376 is a wasteful number, since it uses less digits than its factorization.

82297253376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373856 (or 1373837 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 82297253376 in words is "eighty-two billion, two hundred ninety-seven million, two hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 1373819 2747638 4121457 5495276 8242914 10990552 12364371 16485828 17859647 21981104 24728742 32971656 35719294 43962208 49457484 53578941 65943312 71438588 87924416 98914968 107157882 131886624 142877176 160736823 175848832 197829936 214315764 263773248 285754352 321473646 351697664 395659872 428631528 527546496 571508704 642947292 703395328 791319744 857263056 1055092992 1143017408 1285894584 1582639488 1714526112 2110185984 2286034816 2571789168 3165278976 3429052224 4572069632 5143578336 6330557952 6858104448 9144139264 10287156672 13716208896 20574313344 27432417792 41148626688 82297253376