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29146007979 = 3411223312763
BaseRepresentation
bin11011001001001111…
…001100100110101011
32210020020100121120000
4123021033030212223
5434142334223404
621220044034043
72051156660124
oct331117144653
983206317500
1029146007979
11113a7186200
125794b32923
132996489a8a
1415a6c6704b
15b58b89339
hex6c93cc9ab

29146007979 has 60 divisors (see below), whose sum is σ = 48066186168. Its totient is φ = 17587056960.

The previous prime is 29146007971. The next prime is 29146007983. The reversal of 29146007979 is 97970064192.

29146007979 is a `hidden beast` number, since 2 + 91 + 460 + 0 + 7 + 97 + 9 = 666.

It is not a de Polignac number, because 29146007979 - 23 = 29146007971 is a prime.

It is a super-2 number, since 2×291460079792 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29146007971) 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 59 ways as a sum of consecutive naturals, for example, 2277252 + ... + 2290014.

Almost surely, 229146007979 is an apocalyptic number.

29146007979 is a deficient number, since it is larger than the sum of its proper divisors (18920178189).

29146007979 is a wasteful number, since it uses less digits than its factorization.

29146007979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13030 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 29146007979 in words is "twenty-nine billion, one hundred forty-six million, seven thousand, nine hundred seventy-nine".

Divisors: 1 3 9 11 27 33 81 99 121 233 297 363 699 891 1089 2097 2563 3267 6291 7689 9801 12763 18873 23067 28193 38289 69201 84579 114867 140393 207603 253737 344601 421179 761211 1033803 1263537 1544323 2283633 2973779 3790611 4632969 8921337 11371833 13898907 26764011 32711569 41696721 80292033 98134707 125090163 240876099 294404121 359827259 883212363 1079481777 2649637089 3238445331 9715335993 29146007979