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5166089856 = 273214930097
BaseRepresentation
bin1001100111110110…
…00100011010000000
3111100000220120000100
410303323010122000
541040004333411
62212343122400
7242010016314
oct46373043200
914300816010
105166089856
112211139854
121002143400
136443a2205
14370177b44
15203813456
hex133ec4680

5166089856 has 96 divisors (see below), whose sum is σ = 14966230500. Its totient is φ = 1710415872.

The previous prime is 5166089839. The next prime is 5166089857. The reversal of 5166089856 is 6589806615.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3719048256 + 1447041600 = 60984^2 + 38040^2 .

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

It is a super-2 number, since 2×51660898562 = 53376968800532201472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5166089857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156600 + ... + 186696.

Almost surely, 25166089856 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 5166089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483115250).

5166089856 is an abundant number, since it is smaller than the sum of its proper divisors (9800140644).

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

5166089856 is a wasteful number, since it uses less digits than its factorization.

5166089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30266 (or 30251 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5166089856 is about 71875.5163877102. The cubic root of 5166089856 is about 1728.7040598053.

The spelling of 5166089856 in words is "five billion, one hundred sixty-six million, eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 288 298 384 447 576 596 894 1152 1192 1341 1788 2384 2682 3576 4768 5364 7152 9536 10728 14304 19072 21456 28608 30097 42912 57216 60194 85824 90291 120388 171648 180582 240776 270873 361164 481552 541746 722328 963104 1083492 1444656 1926208 2166984 2889312 3852416 4333968 4484453 5778624 8667936 8968906 11557248 13453359 17335872 17937812 26906718 34671744 35875624 40360077 53813436 71751248 80720154 107626872 143502496 161440308 215253744 287004992 322880616 430507488 574009984 645761232 861014976 1291522464 1722029952 2583044928 5166089856