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29132458590 = 2355325771293
BaseRepresentation
bin11011001000011011…
…100000101001011110
32210012021212020021210
4123020123200221132
5434130402133330
621214441405250
72050633545414
oct331033405136
983167766253
1029132458590
111139a571364
125790499826
1329937247a1
1415a513b2b4
15b578ae8b0
hex6c86e0a5e

29132458590 has 64 divisors (see below), whose sum is σ = 71515296576. Its totient is φ = 7592312832.

The previous prime is 29132458549. The next prime is 29132458601. The reversal of 29132458590 is 9585423192.

It is a happy number.

It is a congruent number.

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, 372984 + ... + 444276.

It is an arithmetic number, because the mean of its divisors is an integer number (1117426509).

Almost surely, 229132458590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29132458590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35757648288).

29132458590 is an abundant number, since it is smaller than the sum of its proper divisors (42382837986).

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

29132458590 is a wasteful number, since it uses less digits than its factorization.

29132458590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71613.

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 29132458590 in words is "twenty-nine billion, one hundred thirty-two million, four hundred fifty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 257 265 318 514 530 771 795 1285 1542 1590 2570 3855 7710 13621 27242 40863 68105 71293 81726 136210 142586 204315 213879 356465 408630 427758 712930 1069395 2138790 3778529 7557058 11335587 18322301 18892645 22671174 36644602 37785290 54966903 56677935 91611505 109933806 113355870 183223010 274834515 549669030 971081953 1942163906 2913245859 4855409765 5826491718 9710819530 14566229295 29132458590