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6734880468 = 2232677693631
BaseRepresentation
bin1100100010110111…
…00001111011010100
3122101100212101011100
412101123201323110
5102243112133333
63032143510100
7325616353011
oct62133417324
918340771140
106734880468
112946734418
12137b5b8330
138343cb694
1447c666708
152963ea213
hex1916e1ed4

6734880468 has 72 divisors (see below), whose sum is σ = 17305608320. Its totient is φ = 2207969280.

The previous prime is 6734880437. The next prime is 6734880469. The reversal of 6734880468 is 8640884376.

6734880468 is a `hidden beast` number, since 67 + 3 + 48 + 80 + 468 = 666.

It is a super-2 number, since 2×67348804682 = 90717229836495798048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6734880469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1853013 + ... + 1856643.

Almost surely, 26734880468 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 6734880468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8652804160).

6734880468 is an abundant number, since it is smaller than the sum of its proper divisors (10570727852).

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

6734880468 is a wasteful number, since it uses less digits than its factorization.

6734880468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 6734880468 is about 82066.3174999342. The cubic root of 6734880468 is about 1888.4694520659.

The spelling of 6734880468 in words is "six billion, seven hundred thirty-four million, eight hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 769 804 1206 1538 2307 2412 3076 3631 4614 6921 7262 9228 10893 13842 14524 21786 27684 32679 43572 51523 65358 103046 130716 154569 206092 243277 309138 463707 486554 618276 729831 927414 973108 1459662 1854828 2189493 2792239 2919324 4378986 5584478 8376717 8757972 11168956 16753434 25130151 33506868 50260302 100520604 187080013 374160026 561240039 748320052 1122480078 1683720117 2244960156 3367440234 6734880468