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29444640740 = 2258935346861
BaseRepresentation
bin11011011011000010…
…011000111111100100
32211000001021201200122
4123123002120333210
5440300312000430
621305432501112
72061444213434
oct333302307744
984001251618
1029444640740
111153a806439
125858b4a798
132a132c9458
1415d47a22c4
15b74ec7ee5
hex6db098fe4

29444640740 has 48 divisors (see below), whose sum is σ = 62706979440. Its totient is φ = 11612282880.

The previous prime is 29444640703. The next prime is 29444640749. The reversal of 29444640740 is 4704644492.

It can be written as a sum of positive squares in 8 ways, for example, as 3283519204 + 26161121536 = 57302^2 + 161744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29444640691 and 29444640700.

It is not an unprimeable number, because it can be changed into a prime (29444640749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604910 + ... + 651770.

It is an arithmetic number, because the mean of its divisors is an integer number (1306395405).

Almost surely, 229444640740 is an apocalyptic number.

29444640740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29444640740 is an abundant number, since it is smaller than the sum of its proper divisors (33262338700).

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

29444640740 is a wasteful number, since it uses less digits than its factorization.

29444640740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47312 (or 47310 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 29444640740 in words is "twenty-nine billion, four hundred forty-four million, six hundred forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 89 178 353 356 445 706 890 1412 1765 1780 3530 7060 31417 46861 62834 93722 125668 157085 187444 234305 314170 468610 628340 937220 4170629 8341258 16541933 16682516 20853145 33083866 41706290 66167732 82709665 83412580 165419330 330838660 1472232037 2944464074 5888928148 7361160185 14722320370 29444640740