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29427146856 = 2333971404503
BaseRepresentation
bin11011011001111111…
…101010000001101000
32210221211100221121000
4123121333222001220
5440231322144411
621304005515000
72061142423032
oct333177520150
983854327530
1029427146856
1111530947a88
125853112a60
132a0c7b2943
1415d232ac52
15b736be956
hex6d9fea068

29427146856 has 64 divisors (see below), whose sum is σ = 82584835200. Its totient is φ = 9707917824.

The previous prime is 29427146851. The next prime is 29427146909. The reversal of 29427146856 is 65864172492.

29427146856 is a `hidden beast` number, since 29 + 42 + 71 + 468 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29427146851) 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, 681300 + ... + 723203.

It is an arithmetic number, because the mean of its divisors is an integer number (1290388050).

Almost surely, 229427146856 is an apocalyptic number.

It is an amenable number.

29427146856 is an abundant number, since it is smaller than the sum of its proper divisors (53157688344).

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

29427146856 is a wasteful number, since it uses less digits than its factorization.

29427146856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404615 (or 1404605 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 29427146856 in words is "twenty-nine billion, four hundred twenty-seven million, one hundred forty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5238 6984 10476 20952 1404503 2809006 4213509 5618012 8427018 11236024 12640527 16854036 25281054 33708072 37921581 50562108 75843162 101124216 136236791 151686324 272473582 303372648 408710373 544947164 817420746 1089894328 1226131119 1634841492 2452262238 3269682984 3678393357 4904524476 7356786714 9809048952 14713573428 29427146856