Search a number
-
+
27892369164 = 223113143158519
BaseRepresentation
bin11001111110100000…
…111100011100001100
32122222212102011101210
4121332200330130030
5424110421303124
620451422134420
72005125140352
oct317640743414
978885364353
1027892369164
1110913573870
1254a5121410
132826834b6a
1414c85737d2
15ad3aa5a29
hex67e83c70c

27892369164 has 96 divisors (see below), whose sum is σ = 74993909760. Its totient is φ = 7989307200.

The previous prime is 27892369117. The next prime is 27892369243. The reversal of 27892369164 is 46196329872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96697 + ... + 255215.

It is an arithmetic number, because the mean of its divisors is an integer number (781186560).

Almost surely, 227892369164 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 27892369164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37496954880).

27892369164 is an abundant number, since it is smaller than the sum of its proper divisors (47101540596).

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

27892369164 is a wasteful number, since it uses less digits than its factorization.

27892369164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158611 (or 158609 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 27892369164 in words is "twenty-seven billion, eight hundred ninety-two million, three hundred sixty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 43 44 62 66 86 93 124 129 132 172 186 258 341 372 473 516 682 946 1023 1333 1364 1419 1892 2046 2666 2838 3999 4092 5332 5676 7998 14663 15996 29326 43989 58652 87978 158519 175956 317038 475557 634076 951114 1743709 1902228 3487418 4914089 5231127 6816317 6974836 9828178 10462254 13632634 14742267 19656356 20448951 20924508 27265268 29484534 40897902 54054979 58969068 74979487 81795804 108109958 149958974 162164937 211305827 216219916 224938461 299917948 324329874 422611654 449876922 633917481 648659748 845223308 899753844 1267834962 2324364097 2535669924 4648728194 6973092291 9297456388 13946184582 27892369164