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3164648920 = 235713113583
BaseRepresentation
bin1011110010100000…
…1011010111011000
322011112211211012021
42330220023113120
522440122231140
61242005224224
7141265033456
oct27450132730
98145754167
103164648920
1113843a8634
12743a02074
133b5842034
142204259d6
15137c68b4a
hexbca0b5d8

3164648920 has 64 divisors (see below), whose sum is σ = 7245987840. Its totient is φ = 1243670400.

The previous prime is 3164648909. The next prime is 3164648933. The reversal of 3164648920 is 298464613.

It is a happy number.

3164648920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881449 + ... + 885031.

It is an arithmetic number, because the mean of its divisors is an integer number (113218560).

Almost surely, 23164648920 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 3164648920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622993920).

3164648920 is an abundant number, since it is smaller than the sum of its proper divisors (4081338920).

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

3164648920 is a wasteful number, since it uses less digits than its factorization.

3164648920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 3164648920 is about 56255.2123807208. The cubic root of 3164648920 is about 1468.1660563960.

The spelling of 3164648920 in words is "three billion, one hundred sixty-four million, six hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 311 355 568 622 710 1244 1420 1555 2488 2840 3110 3583 6220 7166 12440 14332 17915 22081 28664 35830 44162 71660 88324 110405 143320 176648 220810 254393 441620 508786 883240 1017572 1114313 1271965 2035144 2228626 2543930 4457252 5087860 5571565 8914504 10175720 11143130 22286260 44572520 79116223 158232446 316464892 395581115 632929784 791162230 1582324460 3164648920