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4214609264 = 241773321139
BaseRepresentation
bin1111101100110101…
…1101010101110000
3101212201112100000102
43323031131111300
532112414444024
61534113411532
7206304405365
oct37315352560
911781470012
104214609264
111873045358
12997569ba8
13522222548
142bda5a46c
1519a0181ae
hexfb35d570

4214609264 has 40 divisors (see below), whose sum is σ = 8658352080. Its totient is φ = 1980546048.

The previous prime is 4214609257. The next prime is 4214609299. The reversal of 4214609264 is 4629064124.

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, 188807 + ... + 209945.

It is an arithmetic number, because the mean of its divisors is an integer number (216458802).

Almost surely, 24214609264 is an apocalyptic number.

It is an amenable number.

4214609264 is an abundant number, since it is smaller than the sum of its proper divisors (4443742816).

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

4214609264 is a wasteful number, since it uses less digits than its factorization.

4214609264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897 (or 21891 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 4214609264 is about 64920.0220579137. The cubic root of 4214609264 is about 1615.2971958627.

The spelling of 4214609264 in words is "four billion, two hundred fourteen million, six hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 733 1466 2932 5864 11728 12461 21139 24922 42278 49844 84556 99688 169112 199376 338224 359363 718726 1437452 2874904 5749808 15494887 30989774 61979548 123959096 247918192 263413079 526826158 1053652316 2107304632 4214609264