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5164476672 = 28323614793
BaseRepresentation
bin1001100111101001…
…11010100100000000
3111022220212121010210
410303310322210000
541034101223142
62212244354120
7241660220205
oct46364724400
914286777123
105164476672
112210237843
1210016a5940
13643c58b74
1436dc77cac
152035e549c
hex133d3a900

5164476672 has 144 divisors (see below), whose sum is σ = 14580816768. Its totient is φ = 1619312640.

The previous prime is 5164476643. The next prime is 5164476683. The reversal of 5164476672 is 2766744615.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1075108 + ... + 1079900.

It is an arithmetic number, because the mean of its divisors is an integer number (101255672).

Almost surely, 25164476672 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 5164476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290408384).

5164476672 is an abundant number, since it is smaller than the sum of its proper divisors (9416340096).

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

5164476672 is a wasteful number, since it uses less digits than its factorization.

5164476672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4882 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 5164476672 is about 71864.2934425713. The cubic root of 5164476672 is about 1728.5241037115.

The spelling of 5164476672 in words is "five billion, one hundred sixty-four million, four hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 128 138 183 184 192 244 256 276 366 368 384 488 552 732 736 768 976 1104 1403 1464 1472 1952 2208 2806 2928 2944 3904 4209 4416 4793 5612 5856 5888 7808 8418 8832 9586 11224 11712 14379 15616 16836 17664 19172 22448 23424 28758 33672 38344 44896 46848 57516 67344 76688 89792 110239 115032 134688 153376 179584 220478 230064 269376 292373 306752 330717 359168 440956 460128 538752 584746 613504 661434 877119 881912 920256 1077504 1169492 1227008 1322868 1754238 1763824 1840512 2338984 2645736 3508476 3527648 3681024 4677968 5291472 6724579 7016952 7055296 9355936 10582944 13449158 14033904 14110592 18711872 20173737 21165888 26898316 28067808 28221184 37423744 40347474 42331776 53796632 56135616 74847488 80694948 84663552 107593264 112271232 161389896 215186528 224542464 322779792 430373056 645559584 860746112 1291119168 1721492224 2582238336 5164476672