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434830459616 = 25719102168811
BaseRepresentation
bin1100101001111011110…
…10100100001011100000
31112120101002020001020122
412110331322210023200
524111013044201431
6531431445455412
743262334631340
oct6247572441340
91476332201218
10434830459616
11158457505213
1270333a11568
13320096b0c67
141708dd78d20
15b49e639a7b
hex653dea42e0

434830459616 has 48 divisors (see below), whose sum is σ = 1029861624960. Its totient is φ = 176547703680.

The previous prime is 434830459603. The next prime is 434830459621. The reversal of 434830459616 is 616954038434.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 51080150 + ... + 51088661.

It is an arithmetic number, because the mean of its divisors is an integer number (21455450520).

Almost surely, 2434830459616 is an apocalyptic number.

It is an amenable number.

434830459616 is an abundant number, since it is smaller than the sum of its proper divisors (595031165344).

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

434830459616 is a wasteful number, since it uses less digits than its factorization.

434830459616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102168847 (or 102168839 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 53.

The spelling of 434830459616 in words is "four hundred thirty-four billion, eight hundred thirty million, four hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 102168811 204337622 408675244 715181677 817350488 1430363354 1634700976 1941207409 2860726708 3269401952 3882414818 5721453416 7764829636 11442906832 13588451863 15529659272 22885813664 27176903726 31059318544 54353807452 62118637088 108707614904 217415229808 434830459616