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34013536450 = 2524170123669
BaseRepresentation
bin11111101011010111…
…010110000011000010
310020210110110200100021
4133223113112003002
51024124431131300
623343044044054
72312613201205
oct375327260302
9106713420307
1034013536450
1113474833403
12671309362a
133290a45c3a
1419094c393c
15d41174d1a
hex7eb5d60c2

34013536450 has 48 divisors (see below), whose sum is σ = 64903424040. Its totient is φ = 13254080000.

The previous prime is 34013536421. The next prime is 34013536481. The reversal of 34013536450 is 5463531043.

It can be written as a sum of positive squares in 12 ways, for example, as 285846649 + 33727689801 = 16907^2 + 183651^2 .

It is a super-3 number, since 3×340135364503 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1425216 + ... + 1448884.

Almost surely, 234013536450 is an apocalyptic number.

34013536450 is a deficient number, since it is larger than the sum of its proper divisors (30889887590).

34013536450 is a wasteful number, since it uses less digits than its factorization.

34013536450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24423 (or 24418 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 34013536450 in words is "thirty-four billion, thirteen million, five hundred thirty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 25 41 50 82 205 410 701 1025 1402 2050 3505 7010 17525 23669 28741 35050 47338 57482 118345 143705 236690 287410 591725 718525 970429 1183450 1437050 1940858 4852145 9704290 16591969 24260725 33183938 48521450 82959845 165919690 414799225 680270729 829598450 1360541458 3401353645 6802707290 17006768225 34013536450