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323688172096 = 261941972
BaseRepresentation
bin1001011010111010101…
…00011000101001000000
31010221111101101211222101
410231131110120221000
520300403133001341
6404411132520144
732246203031512
oct4553524305100
91127441354871
10323688172096
11115303597633
1252896620054
13246a66485a3
14119491a9bb2
158647106831
hex4b5d518a40

323688172096 has 105 divisors (see below), whose sum is σ = 681461924729. Its totient is φ = 152547671808.

The previous prime is 323688172057. The next prime is 323688172111. The reversal of 323688172096 is 690271886323.

The square root of 323688172096 is 568936.

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

It can be written as a sum of positive squares in only one way, i.e., 317149185600 + 6538986496 = 563160^2 + 80864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1643087070 + ... + 1643087266.

Almost surely, 2323688172096 is an apocalyptic number.

323688172096 is the 568936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323688172096

323688172096 is an abundant number, since it is smaller than the sum of its proper divisors (357773752633).

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

323688172096 is an frugal number, since it uses more digits than its factorization.

323688172096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 323688172096 in words is "three hundred twenty-three billion, six hundred eighty-eight million, one hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 197 304 361 394 608 722 788 1216 1444 1576 2888 3152 3743 5776 6304 6859 7486 11552 12608 13718 14972 23104 27436 29944 38809 54872 59888 71117 77618 109744 119776 130321 142234 155236 219488 239552 260642 284468 310472 438976 521284 568936 620944 737371 1042568 1137872 1241888 1351223 1474742 2085136 2275744 2483776 2702446 2949484 4170272 4551488 5404892 5898968 8340544 10809784 11797936 14010049 21619568 23595872 25673237 28020098 43239136 47191744 51346474 56040196 86478272 102692948 112080392 205385896 224160784 266190931 410771792 448321568 532381862 821543584 896643136 1064763724 1643087168 2129527448 4259054896 5057627689 8518109792 10115255378 17036219584 20230510756 40461021512 80922043024 161844086048 323688172096