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29842621290 = 2335127870301
BaseRepresentation
bin11011110010110000…
…100100001101101010
32212000210011020101000
4123302300210031222
5442104202340130
621413130535430
72104346044536
oct336260441552
985023136330
1029842621290
1111724422089
12594a297576
132a778b17c1
14163159cbc6
15b99ddd260
hex6f2c2436a

29842621290 has 64 divisors (see below), whose sum is σ = 80207032320. Its totient is φ = 7895361600.

The previous prime is 29842621271. The next prime is 29842621327. The reversal of 29842621290 is 9212624892.

29842621290 is a `hidden beast` number, since 2 + 9 + 8 + 426 + 212 + 9 + 0 = 666.

It is a super-2 number, since 2×298426212902 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 400861 + ... + 469440.

It is an arithmetic number, because the mean of its divisors is an integer number (1253234880).

Almost surely, 229842621290 is an apocalyptic number.

29842621290 is an abundant number, since it is smaller than the sum of its proper divisors (50364411030).

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

29842621290 is a wasteful number, since it uses less digits than its factorization.

29842621290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870444 (or 870438 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 29842621290 in words is "twenty-nine billion, eight hundred forty-two million, six hundred twenty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 762 1143 1270 1905 2286 3429 3810 5715 6858 11430 17145 34290 870301 1740602 2610903 4351505 5221806 7832709 8703010 13054515 15665418 23498127 26109030 39163545 46996254 78327090 110528227 117490635 221056454 234981270 331584681 552641135 663169362 994754043 1105282270 1657923405 1989508086 2984262129 3315846810 4973770215 5968524258 9947540430 14921310645 29842621290