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16079089416 = 23313194363079
BaseRepresentation
bin11101111100110001…
…10110111100001000
31112111120122101002020
432332120312330020
5230412221330131
611215302404440
71106312001465
oct167630667410
945446571066
1016079089416
116901254955
123148a30720
131693287cc0
14ac767c66c
15641919996
hex3be636f08

16079089416 has 128 divisors (see below), whose sum is σ = 46628736000. Its totient is φ = 4577948928.

The previous prime is 16079089409. The next prime is 16079089421. The reversal of 16079089416 is 61498097061.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223365 + ... + 286443.

It is an arithmetic number, because the mean of its divisors is an integer number (364287000).

Almost surely, 216079089416 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 16079089416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314368000).

16079089416 is an abundant number, since it is smaller than the sum of its proper divisors (30549646584).

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

16079089416 is a wasteful number, since it uses less digits than its factorization.

16079089416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63163 (or 63159 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 16079089416 in words is "sixteen billion, seventy-nine million, eighty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 43 52 57 76 78 86 104 114 129 152 156 172 228 247 258 312 344 456 494 516 559 741 817 988 1032 1118 1482 1634 1677 1976 2236 2451 2964 3268 3354 4472 4902 5928 6536 6708 9804 10621 13416 19608 21242 31863 42484 63079 63726 84968 126158 127452 189237 252316 254904 378474 504632 756948 820027 1198501 1513896 1640054 2397002 2460081 2712397 3280108 3595503 4794004 4920162 5424794 6560216 7191006 8137191 9588008 9840324 10849588 14382012 15580513 16274382 19680648 21699176 28764024 31161026 32548764 35261161 46741539 51535543 62322052 65097528 70522322 93483078 103071086 105783483 124644104 141044644 154606629 186966156 206142172 211566966 282089288 309213258 373932312 412284344 423133932 618426516 669962059 846267864 1236853032 1339924118 2009886177 2679848236 4019772354 5359696472 8039544708 16079089416