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4134643104 = 253311389329
BaseRepresentation
bin1111011001110001…
…1010010110100000
3101200011001122001210
43312130122112200
531431432034404
61522135430120
7204313613034
oct36634322640
911604048053
104134643104
111831997619
12974825340
1350b7a46a7
142b31a21c4
15192ebe689
hexf671a5a0

4134643104 has 48 divisors (see below), whose sum is σ = 11203557120. Its totient is φ = 1333754880.

The previous prime is 4134643087. The next prime is 4134643111. The reversal of 4134643104 is 4013464314.

4134643104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691689 + ... + 697640.

It is an arithmetic number, because the mean of its divisors is an integer number (233407440).

Almost surely, 24134643104 is an apocalyptic number.

It is an amenable number.

4134643104 is an abundant number, since it is smaller than the sum of its proper divisors (7068914016).

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

4134643104 is a wasteful number, since it uses less digits than its factorization.

4134643104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389373 (or 1389365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4134643104 is about 64301.1905333019. The cubic root of 4134643104 is about 1605.0159131195.

It can be divided in two parts, 413464310 and 4, that added together give a palindrome (413464314).

The spelling of 4134643104 in words is "four billion, one hundred thirty-four million, six hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 1389329 2778658 4167987 5557316 8335974 11114632 16671948 22229264 33343896 43069199 44458528 66687792 86138398 129207597 133375584 172276796 258415194 344553592 516830388 689107184 1033660776 1378214368 2067321552 4134643104