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29809170064 = 2417293779053
BaseRepresentation
bin11011110000110000…
…111101011010010000
32211221110012201220201
4123300300331122100
5442022121420224
621405533544544
72103461523232
oct336060753220
984843181821
1029809170064
1111707554743
12593b045154
132a7099b98b
14162ad72252
15b96ed1a44
hex6f0c3d690

29809170064 has 40 divisors (see below), whose sum is σ = 63261363960. Its totient is φ = 13544122368.

The previous prime is 29809170037. The next prime is 29809170101. The reversal of 29809170064 is 46007190892.

It can be written as a sum of positive squares in 4 ways, for example, as 3305330064 + 26503840000 = 57492^2 + 162800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29809169996 and 29809170023.

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 7 ways as a sum of consecutive naturals, for example, 1881639 + ... + 1897414.

It is an arithmetic number, because the mean of its divisors is an integer number (1581534099).

Almost surely, 229809170064 is an apocalyptic number.

It is an amenable number.

29809170064 is an abundant number, since it is smaller than the sum of its proper divisors (33452193896).

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

29809170064 is a wasteful number, since it uses less digits than its factorization.

29809170064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779107 (or 3779101 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 29809170064 in words is "twenty-nine billion, eight hundred nine million, one hundred seventy thousand, sixty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 3779053 7558106 15116212 30232424 60464848 64243901 109592537 128487802 219185074 256975604 438370148 513951208 876740296 1027902416 1753480592 1863073129 3726146258 7452292516 14904585032 29809170064