Search a number
-
+
16120179040 = 255719773061
BaseRepresentation
bin11110000001101011…
…00110100101100000
31112121102221221110011
433000311212211200
5231003231212130
611223331214304
71110321155350
oct170065464540
945542857404
1016120179040
11692246a119
12315a747394
13169b9437a4
14acccd6b60
1564533452a
hex3c0d66960

16120179040 has 96 divisors (see below), whose sum is σ = 43746018624. Its totient is φ = 5498787840.

The previous prime is 16120178993. The next prime is 16120179041. The reversal of 16120179040 is 4097102161.

It is a junction number, because it is equal to n+sod(n) for n = 16120178993 and 16120179011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16120179041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184110 + ... + 257170.

It is an arithmetic number, because the mean of its divisors is an integer number (455687694).

Almost surely, 216120179040 is an apocalyptic number.

16120179040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16120179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873009312).

16120179040 is an abundant number, since it is smaller than the sum of its proper divisors (27625839584).

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

16120179040 is a wasteful number, since it uses less digits than its factorization.

16120179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73280 (or 73272 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 16120179040 in words is "sixteen billion, one hundred twenty million, one hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 197 224 280 394 560 788 985 1120 1379 1576 1970 2758 3152 3940 5516 6304 6895 7880 11032 13790 15760 22064 27580 31520 44128 55160 73061 110320 146122 220640 292244 365305 511427 584488 730610 1022854 1168976 1461220 2045708 2337952 2557135 2922440 4091416 5114270 5844880 8182832 10228540 11689760 14393017 16365664 20457080 28786034 40914160 57572068 71965085 81828320 100751119 115144136 143930170 201502238 230288272 287860340 403004476 460576544 503755595 575720680 806008952 1007511190 1151441360 1612017904 2015022380 2302882720 3224035808 4030044760 8060089520 16120179040