Search a number
-
+
184115400832 = 27111757713331
BaseRepresentation
bin1010101101111000100…
…0100001000010000000
3122121020022121102212201
42223132020201002000
511004032020311312
6220325332002544
716205360041156
oct2533610410200
9577208542781
10184115400832
11710a03867a0
122b823a60454
131449243c67c
148ca85cd3d6
154bc8b76557
hex2ade221080

184115400832 has 128 divisors (see below), whose sum is σ = 424440751680. Its totient is φ = 78623539200.

The previous prime is 184115400829. The next prime is 184115400839. The reversal of 184115400832 is 238004511481.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 184115400791 and 184115400800.

It is not an unprimeable number, because it can be changed into a prime (184115400839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13804407 + ... + 13817737.

Almost surely, 2184115400832 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 184115400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212220375840).

184115400832 is an abundant number, since it is smaller than the sum of its proper divisors (240325350848).

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

184115400832 is a wasteful number, since it uses less digits than its factorization.

184115400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 184115400832 in words is "one hundred eighty-four billion, one hundred fifteen million, four hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 577 704 748 1088 1154 1408 1496 2176 2308 2992 4616 5984 6347 9232 9809 11968 12694 13331 18464 19618 23936 25388 26662 36928 39236 50776 53324 73856 78472 101552 106648 107899 146641 156944 203104 213296 215798 226627 293282 313888 406208 426592 431596 453254 586564 627776 812416 853184 863192 906508 1173128 1255552 1706368 1726384 1813016 2346256 2492897 3452768 3626032 4692512 4985794 6905536 7252064 7691987 9385024 9971588 13811072 14504128 15383974 18770048 19943176 29008256 30767948 39886352 61535896 79772704 84611857 123071792 130763779 159545408 169223714 246143584 261527558 319090816 338447428 492287168 523055116 676894856 984574336 1046110232 1353789712 1438401569 2092220464 2707579424 2876803138 4184440928 5415158848 5753606276 8368881856 10830317696 11507212552 16737763712 23014425104 46028850208 92057700416 184115400832