Search a number
-
+
29018955744 = 2532234380881
BaseRepresentation
bin11011000001101010…
…100001111111100000
32202220101021200122200
4123001222201333200
5433412323040434
621155304533200
72045055024342
oct330152417740
982811250580
1029018955744
1111341497a59
12575a481200
132976063c3c
141594033292
15b4c93e199
hex6c1aa1fe0

29018955744 has 72 divisors (see below), whose sum is σ = 86110616592. Its totient is φ = 9252418560.

The previous prime is 29018955743. The next prime is 29018955793. The reversal of 29018955744 is 44755981092.

It is a happy number.

29018955744 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 89 + 557 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29018955743) 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 11 ways as a sum of consecutive naturals, for example, 2183817 + ... + 2197064.

It is an arithmetic number, because the mean of its divisors is an integer number (1195980786).

Almost surely, 229018955744 is an apocalyptic number.

29018955744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29018955744 is an abundant number, since it is smaller than the sum of its proper divisors (57091660848).

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

29018955744 is a wasteful number, since it uses less digits than its factorization.

29018955744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380920 (or 4380909 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 29018955744 in words is "twenty-nine billion, eighteen million, nine hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 4380881 8761762 13142643 17523524 26285286 35047048 39427929 52570572 70094096 78855858 100760263 105141144 140188192 157711716 201520526 210282288 302280789 315423432 403041052 420564576 604561578 630846864 806082104 906842367 1209123156 1261693728 1612164208 1813684734 2418246312 3224328416 3627369468 4836492624 7254738936 9672985248 14509477872 29018955744