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5464700160 = 28351499551
BaseRepresentation
bin1010001011011100…
…01011010100000000
3112002211210112100020
411011232023110000
542142430401120
62302131253440
7252264120303
oct50556132400
915084715306
105464700160
112354754127
12108614a280
136912045ba
1439baa8b3a
1521eb4a640
hex145b8b500

5464700160 has 144 divisors (see below), whose sum is σ = 17571859200. Its totient is φ = 1447321600.

The previous prime is 5464700147. The next prime is 5464700177. The reversal of 5464700160 is 610074645.

It is a congruent number.

It is an unprimeable number.

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, 567385 + ... + 576935.

It is an arithmetic number, because the mean of its divisors is an integer number (122026800).

Almost surely, 25464700160 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 5464700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785929600).

5464700160 is an abundant number, since it is smaller than the sum of its proper divisors (12107159040).

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

5464700160 is a wasteful number, since it uses less digits than its factorization.

5464700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5464700160 is about 73923.6103014456. The cubic root of 5464700160 is about 1761.3896737922.

The spelling of 5464700160 in words is "five billion, four hundred sixty-four million, seven hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 256 298 320 384 447 480 596 640 745 768 894 960 1192 1280 1490 1788 1920 2235 2384 2980 3576 3840 4470 4768 5960 7152 8940 9536 9551 11920 14304 17880 19072 19102 23840 28608 28653 35760 38144 38204 47680 47755 57216 57306 71520 76408 95360 95510 114432 114612 143040 143265 152816 190720 191020 229224 286080 286530 305632 382040 458448 572160 573060 611264 764080 916896 1146120 1222528 1423099 1528160 1833792 2292240 2445056 2846198 3056320 3667584 4269297 4584480 5692396 6112640 7115495 7335168 8538594 9168960 11384792 12225280 14230990 17077188 18337920 21346485 22769584 28461980 34154376 36675840 42692970 45539168 56923960 68308752 85385940 91078336 113847920 136617504 170771880 182156672 227695840 273235008 341543760 364313344 455391680 546470016 683087520 910783360 1092940032 1366175040 1821566720 2732350080 5464700160