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16413534192 = 24311833531061
BaseRepresentation
bin11110100100101001…
…01010011111110000
31120100212221221001210
433102110222133300
5232103331043232
611312411000120
71120512511236
oct172224523760
946325857053
1016413534192
116a630151a0
123220a39040
131717655c13
14b19c5a956
15660e7e5cc
hex3d252a7f0

16413534192 has 160 divisors (see below), whose sum is σ = 46990492416. Its totient is φ = 4895334400.

The previous prime is 16413534169. The next prime is 16413534197. The reversal of 16413534192 is 29143531461.

It is a self number, because there is not a number n which added to its sum of digits gives 16413534192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16413534197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15469342 + ... + 15470402.

Almost surely, 216413534192 is an apocalyptic number.

16413534192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16413534192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495246208).

16413534192 is an abundant number, since it is smaller than the sum of its proper divisors (30576958224).

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

16413534192 is a wasteful number, since it uses less digits than its factorization.

16413534192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The spelling of 16413534192 in words is "sixteen billion, four hundred thirteen million, five hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 353 498 528 664 706 913 996 1059 1061 1328 1412 1826 1992 2118 2122 2739 2824 3183 3652 3883 3984 4236 4244 5478 5648 6366 7304 7766 8472 8488 10956 11649 11671 12732 14608 15532 16944 16976 21912 23298 23342 25464 29299 31064 35013 43824 46596 46684 50928 58598 62128 70026 87897 88063 93192 93368 117196 140052 175794 176126 186384 186736 234392 264189 280104 322289 351588 352252 374533 468784 528378 560208 644578 703176 704504 749066 966867 968693 1056756 1123599 1289156 1406352 1409008 1498132 1933734 1937386 2113512 2247198 2578312 2906079 2996264 3867468 3874772 4119863 4227024 4494396 5156624 5812158 5992528 7734936 7749544 8239726 8988792 11624316 12359589 15469872 15499088 16479452 17977584 23248632 24719178 31086239 32958904 46497264 49438356 62172478 65917808 93258717 98876712 124344956 186517434 197753424 248689912 341948629 373034868 497379824 683897258 746069736 1025845887 1367794516 1492139472 2051691774 2735589032 4103383548 5471178064 8206767096 16413534192