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306689671296 = 27321637162629
BaseRepresentation
bin1000111011010000010…
…00010000000010000000
31002022121201201112120200
410131220020100002000
520011100023440141
6352520304005200
731105025123241
oct4355010200200
91068551645520
10306689671296
11109080362368
124b531900800
1322bc7a5b6a8
1410bb579acc8
157e9eb28ab6
hex4768210080

306689671296 has 96 divisors (see below), whose sum is σ = 883076021100. Its totient is φ = 102166812672.

The previous prime is 306689671207. The next prime is 306689671339. The reversal of 306689671296 is 692176986603.

It can be written as a sum of positive squares in 2 ways, for example, as 304995525696 + 1694145600 = 552264^2 + 41160^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 1804510 + ... + 1967138.

Almost surely, 2306689671296 is an apocalyptic number.

306689671296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306689671296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441538010550).

306689671296 is an abundant number, since it is smaller than the sum of its proper divisors (576386349804).

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

306689671296 is a wasteful number, since it uses less digits than its factorization.

306689671296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164286 (or 164271 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 306689671296 in words is "three hundred six billion, six hundred eighty-nine million, six hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1637 3274 4911 6548 9822 13096 14733 19644 26192 29466 39288 52384 58932 78576 104768 117864 157152 162629 209536 235728 314304 325258 471456 487887 628608 650516 942912 975774 1301032 1463661 1885824 1951548 2602064 2927322 3903096 5204128 5854644 7806192 10408256 11709288 15612384 20816512 23418576 31224768 46837152 62449536 93674304 187348608 266223673 532447346 798671019 1064894692 1597342038 2129789384 2396013057 3194684076 4259578768 4792026114 6389368152 8519157536 9584052228 12778736304 17038315072 19168104456 25557472608 34076630144 38336208912 51114945216 76672417824 102229890432 153344835648 306689671296