Search a number
-
+
84760022816 = 2572229236053
BaseRepresentation
bin100111011110000010…
…1110100111100100000
322002210001221021202022
41032330011310330200
52342042031212231
6102534353241012
76060301210100
oct1167405647440
9262701837668
1084760022816
1132a45906737
1214515b63168
137cba350071
14416100d200
152311320c7b
hex13bc174f20

84760022816 has 72 divisors (see below), whose sum is σ = 194964080220. Its totient is φ = 36166943232.

The previous prime is 84760022779. The next prime is 84760022821. The reversal of 84760022816 is 61822006748.

It can be written as a sum of positive squares in 2 ways, for example, as 67182566416 + 17577456400 = 259196^2 + 132580^2 .

It is a super-2 number, since 2×847600228162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241046 + ... + 477098.

Almost surely, 284760022816 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 84760022816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97482040110).

84760022816 is an abundant number, since it is smaller than the sum of its proper divisors (110204057404).

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

84760022816 is a wasteful number, since it uses less digits than its factorization.

84760022816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236306 (or 236291 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 84760022816 in words is "eighty-four billion, seven hundred sixty million, twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 229 392 458 784 916 1568 1603 1832 3206 3664 6412 7328 11221 12824 22442 25648 44884 51296 89768 179536 236053 359072 472106 944212 1652371 1888424 3304742 3776848 6609484 7553696 11566597 13218968 23133194 26437936 46266388 52875872 54056137 92532776 108112274 185065552 216224548 370131104 378392959 432449096 756785918 864898192 1513571836 1729796384 2648750713 3027143672 5297501426 6054287344 10595002852 12108574688 21190005704 42380011408 84760022816