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3939893664 = 253731189127
BaseRepresentation
bin1110101011010110…
…0000000110100000
3101011120121100001120
43222311200012200
531032103044124
61450541332240
7166430354310
oct35265400640
911146540046
103939893664
111741a70473
1291b567080
134aa338235
14295389440
15180d50d79
hexead601a0

3939893664 has 96 divisors (see below), whose sum is σ = 12201025536. Its totient is φ = 1089365760.

The previous prime is 3939893603. The next prime is 3939893669. The reversal of 3939893664 is 4663989393.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3939893598 and 3939893607.

It is not an unprimeable number, because it can be changed into a prime (3939893669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73732 + ... + 115395.

It is an arithmetic number, because the mean of its divisors is an integer number (127094016).

Almost surely, 23939893664 is an apocalyptic number.

It is an amenable number.

3939893664 is an abundant number, since it is smaller than the sum of its proper divisors (8261131872).

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

3939893664 is a wasteful number, since it uses less digits than its factorization.

3939893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189178 (or 189170 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 60.

The square root of 3939893664 is about 62768.5722635142. The cubic root of 3939893664 is about 1579.4098185649.

The spelling of 3939893664 in words is "three billion, nine hundred thirty-nine million, eight hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 189127 378254 567381 756508 1134762 1323889 1513016 2269524 2647778 3026032 3971667 4539048 5295556 5862937 6052064 7943334 9078096 10591112 11725874 15886668 17588811 18156192 21182224 23451748 31773336 35177622 41040559 42364448 46903496 63546672 70355244 82081118 93806992 123121677 127093344 140710488 164162236 187613984 246243354 281420976 328324472 492486708 562841952 656648944 984973416 1313297888 1969946832 3939893664