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16412191744 = 210133793253
BaseRepresentation
bin11110100100011111…
…00010110000000000
31120100210102201120111
433102033202300000
5232103010113434
611312322121104
71120465220344
oct172217426000
946323381514
1016412191744
116a62288633
1232204b0194
1317172a5b80
14b199cb624
15660cb6964
hex3d23e2c00

16412191744 has 88 divisors (see below), whose sum is σ = 35436190160. Its totient is φ = 7552548864.

The previous prime is 16412191739. The next prime is 16412191751. The reversal of 16412191744 is 44719121461.

It is a junction number, because it is equal to n+sod(n) for n = 16412191697 and 16412191706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5043622 + ... + 5046874.

Almost surely, 216412191744 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 16412191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718095080).

16412191744 is an abundant number, since it is smaller than the sum of its proper divisors (19023998416).

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

16412191744 is a wasteful number, since it uses less digits than its factorization.

16412191744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3647 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The spelling of 16412191744 in words is "sixteen billion, four hundred twelve million, one hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 379 416 512 758 832 1024 1516 1664 3032 3253 3328 4927 6064 6506 6656 9854 12128 13012 13312 19708 24256 26024 39416 42289 48512 52048 78832 84578 97024 104096 157664 169156 194048 208192 315328 338312 388096 416384 630656 676624 832768 1232887 1261312 1353248 1665536 2465774 2522624 2706496 3331072 4931548 5045248 5412992 9863096 10825984 16027531 19726192 21651968 32055062 39452384 43303936 64110124 78904768 128220248 157809536 256440496 315619072 512880992 631238144 1025761984 1262476288 2051523968 4103047936 8206095872 16412191744