Search a number
-
+
29719591543296 = 29326449564137
BaseRepresentation
bin1101100000111101000011…
…01100100110001000000000
310220020011110102201020201200
412300132201230212020000
512343411210413341141
6143112554124501200
76155112120004554
oct660364154461000
9126204412636650
1029719591543296
11951900a702256
1233bba330aa800
1313777124a5715
1474a6161a7864
1536811c5a1ab6
hex1b07a1b26200

29719591543296 has 60 divisors (see below), whose sum is σ = 85772753471262. Its totient is φ = 9906530512896.

The previous prime is 29719591543283. The next prime is 29719591543321. The reversal of 29719591543296 is 69234519591792.

29719591543296 is a `hidden beast` number, since 2 + 9 + 7 + 1 + 9 + 59 + 1 + 543 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29156371312896 + 563220230400 = 5399664^2 + 750480^2 .

It is a super-2 number, since 2×297195915432962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3224777461 + ... + 3224786676.

Almost surely, 229719591543296 is an apocalyptic number.

It is an amenable number.

29719591543296 is an abundant number, since it is smaller than the sum of its proper divisors (56053161927966).

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

29719591543296 is an equidigital number, since it uses as much as digits as its factorization.

29719591543296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449564161 (or 6449564142 counting only the distinct ones).

The product of its digits is 330674400, while the sum is 72.

The spelling of 29719591543296 in words is "twenty-nine trillion, seven hundred nineteen billion, five hundred ninety-one million, five hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6449564137 12899128274 19348692411 25798256548 38697384822 51596513096 58046077233 77394769644 103193026192 116092154466 154789539288 206386052384 232184308932 309579078576 412772104768 464368617864 619158157152 825544209536 928737235728 1238316314304 1651088419072 1857474471456 2476632628608 3302176838144 3714948942912 4953265257216 7429897885824 9906530514432 14859795771648 29719591543296