Search a number
-
+
27892194336 = 2532674573163
BaseRepresentation
bin11001111110100000…
…010001110000100000
32122222212002021120200
4121332200101300200
5424110400204321
620451414305200
72005123511556
oct317640216040
978885067520
1027892194336
1110913464486
1254a5058200
1328267a3406
1414c8529bd6
15ad3a6dd26
hex67e811c20

27892194336 has 144 divisors (see below), whose sum is σ = 80703945504. Its totient is φ = 9135700992.

The previous prime is 27892194263. The next prime is 27892194349. The reversal of 27892194336 is 63349129872.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8816691 + ... + 8819853.

It is an arithmetic number, because the mean of its divisors is an integer number (560444066).

Almost surely, 227892194336 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 27892194336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351972752).

27892194336 is an abundant number, since it is smaller than the sum of its proper divisors (52811751168).

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

27892194336 is a wasteful number, since it uses less digits than its factorization.

27892194336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3692 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 27892194336 in words is "twenty-seven billion, eight hundred ninety-two million, one hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 457 536 603 804 914 1072 1206 1371 1608 1828 2144 2412 2742 3163 3216 3656 4113 4824 5484 6326 6432 7312 8226 9489 9648 10968 12652 14624 16452 18978 19296 21936 25304 28467 30619 32904 37956 43872 50608 56934 61238 65808 75912 91857 101216 113868 122476 131616 151824 183714 211921 227736 244952 275571 303648 367428 423842 455472 489904 551142 635763 734856 847684 910944 979808 1102284 1271526 1445491 1469712 1695368 1907289 2204568 2543052 2890982 2939424 3390736 3814578 4336473 4409136 5086104 5781964 6781472 7629156 8672946 8818272 10172208 11563928 13009419 15258312 17345892 20344416 23127856 26018838 30516624 34691784 46255712 52037676 61033248 69383568 96847897 104075352 138767136 193695794 208150704 290543691 387391588 416301408 581087382 774783176 871631073 1162174764 1549566352 1743262146 2324349528 3099132704 3486524292 4648699056 6973048584 9297398112 13946097168 27892194336