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16094120544 = 25321914512027
BaseRepresentation
bin11101111110100100…
…01100101001100000
31112112121221000220200
432333102030221200
5230430043324134
611221000505200
71106553524145
oct167722145140
945477830820
1016094120544
116909790a77
123151a7b200
13169641b868
14ac96723cc
15642dd8499
hex3bf48ca60

16094120544 has 144 divisors (see below), whose sum is σ = 48233465280. Its totient is φ = 5076345600.

The previous prime is 16094120521. The next prime is 16094120551. The reversal of 16094120544 is 44502149061.

16094120544 is a `hidden beast` number, since 1 + 6 + 0 + 94 + 1 + 20 + 544 = 666.

16094120544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16094120499 and 16094120508.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7938859 + ... + 7940885.

It is an arithmetic number, because the mean of its divisors is an integer number (334954620).

Almost surely, 216094120544 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 16094120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24116732640).

16094120544 is an abundant number, since it is smaller than the sum of its proper divisors (32139344736).

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

16094120544 is a wasteful number, since it uses less digits than its factorization.

16094120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16094120544 in words is "sixteen billion, ninety-four million, one hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1451 1824 2027 2736 2902 4054 4353 5472 5804 6081 8108 8706 11608 12162 13059 16216 17412 18243 23216 24324 26118 27569 32432 34824 36486 38513 46432 48648 52236 55138 64864 69648 72972 77026 82707 97296 104472 110276 115539 139296 145944 154052 165414 194592 208944 220552 231078 248121 291888 308104 330828 346617 417888 441104 462156 496242 583776 616208 661656 693234 882208 924312 992484 1232416 1323312 1386468 1848624 1984968 2646624 2772936 2941177 3697248 3969936 5545872 5882354 7939872 8823531 11091744 11764708 17647062 23529416 26470593 35294124 47058832 52941186 55882363 70588248 94117664 105882372 111764726 141176496 167647089 211764744 223529452 282352992 335294178 423529488 447058904 502941267 670588356 847058976 894117808 1005882534 1341176712 1788235616 2011765068 2682353424 4023530136 5364706848 8047060272 16094120544