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4308541664 = 25737677759
BaseRepresentation
bin1000000001100111…
…10010000011100000
3102010021021121001012
410000303302003200
532310441313124
61551311000052
7211524666650
oct40063620340
912107247035
104308541664
111911072139
12a02b09028
1353882034b
142cc30c360
151a33bee0e
hex100cf20e0

4308541664 has 96 divisors (see below), whose sum is σ = 10106127360. Its totient is φ = 1769568768.

The previous prime is 4308541651. The next prime is 4308541697. The reversal of 4308541664 is 4661458034.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551417 + ... + 559175.

It is an arithmetic number, because the mean of its divisors is an integer number (105272160).

Almost surely, 24308541664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4308541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053063680).

4308541664 is an abundant number, since it is smaller than the sum of its proper divisors (5797585696).

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

4308541664 is a wasteful number, since it uses less digits than its factorization.

4308541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 4308541664 is about 65639.4825086243. The cubic root of 4308541664 is about 1627.2093547462.

Adding to 4308541664 its reverse (4661458034), we get a palindrome (8969999698).

The spelling of 4308541664 in words is "four billion, three hundred eight million, five hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 67 74 112 134 148 224 259 268 296 469 518 536 592 938 1036 1072 1184 1876 2072 2144 2479 3752 4144 4958 7504 7759 8288 9916 15008 15518 17353 19832 31036 34706 39664 54313 62072 69412 79328 108626 124144 138824 217252 248288 277648 287083 434504 519853 555296 574166 869008 1039706 1148332 1738016 2009581 2079412 2296664 3638971 4019162 4158824 4593328 7277942 8038324 8317648 9186656 14555884 16076648 16635296 19234561 29111768 32153296 38469122 58223536 64306592 76938244 116447072 134641927 153876488 269283854 307752976 538567708 615505952 1077135416 2154270832 4308541664