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16986465392 = 24131276131049
BaseRepresentation
bin11111101000111100…
…01110010001110000
31121211211000211220212
433310132032101300
5234242013343032
611445314523252
71140640400501
oct176436162160
947754024825
1016986465392
117227464956
123360896528
1317a9264a70
14b71d98ba8
15696401bb2
hex3f478e470

16986465392 has 80 divisors (see below), whose sum is σ = 35814374400. Its totient is φ = 7758084096.

The previous prime is 16986465373. The next prime is 16986465401. The reversal of 16986465392 is 29356468961.

It is a super-2 number, since 2×169864653922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16192484 + ... + 16193532.

It is an arithmetic number, because the mean of its divisors is an integer number (447679680).

Almost surely, 216986465392 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 16986465392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907187200).

16986465392 is an abundant number, since it is smaller than the sum of its proper divisors (18827909008).

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

16986465392 is a wasteful number, since it uses less digits than its factorization.

16986465392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 59.

The spelling of 16986465392 in words is "sixteen billion, nine hundred eighty-six million, four hundred sixty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 613 1016 1049 1226 1651 2032 2098 2452 3302 4196 4904 6604 7969 8392 9808 13208 13637 15938 16784 26416 27274 31876 54548 63752 77851 109096 127504 133223 155702 218192 266446 311404 532892 622808 643037 1012063 1065784 1245616 1286074 1731899 2024126 2131568 2572148 3463798 4048252 5144296 6927596 8096504 8359481 10288592 13855192 16193008 16718962 27710384 33437924 66875848 81665699 133751696 163331398 326662796 653325592 1061654087 1306651184 2123308174 4246616348 8493232696 16986465392