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16145196534 = 236194911187
BaseRepresentation
bin11110000100101010…
…00010010111110110
31112200012000222000000
433002111002113312
5231031132242114
611230023332130
71111043622555
oct170225022766
945605028000
1016145196534
1169355a7135
123166bb1046
1316a3b9293c
14ad2369d9c
15647626e09
hex3c25425f6

16145196534 has 112 divisors (see below), whose sum is σ = 38331247680. Its totient is φ = 5083812720.

The previous prime is 16145196511. The next prime is 16145196539. The reversal of 16145196534 is 43569154161.

16145196534 is a `hidden beast` number, since 1 + 61 + 4 + 51 + 9 + 6 + 534 = 666.

16145196534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161451965342 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16145196534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16145196539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13601089 + ... + 13602275.

Almost surely, 216145196534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16145196534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165623840).

16145196534 is an abundant number, since it is smaller than the sum of its proper divisors (22186051146).

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

16145196534 is a wasteful number, since it uses less digits than its factorization.

16145196534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1702 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 16145196534 in words is "sixteen billion, one hundred forty-five million, one hundred ninety-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 491 513 729 982 1026 1187 1458 1473 1539 2374 2946 3078 3561 4419 4617 7122 8838 9234 9329 10683 13257 13851 18658 21366 22553 26514 27702 27987 32049 39771 45106 55974 64098 67659 79542 83961 96147 119313 135318 167922 192294 202977 238626 251883 288441 357939 405954 503766 576882 582817 608931 715878 755649 865323 1165634 1217862 1511298 1730646 1748451 1826793 2266947 3496902 3653586 4533894 5245353 5480379 6800841 10490706 10960758 11073523 13601682 15736059 16441137 22147046 31472118 32882274 33220569 47208177 66441138 94416354 99661707 141624531 199323414 283249062 298985121 424873593 597970242 849747186 896955363 1793910726 2690866089 5381732178 8072598267 16145196534