Search a number
-
+
16102509024 = 2537231041829
BaseRepresentation
bin11101111111100100…
…01100100111100000
31112120012201012202010
432333302030213200
5230434220242044
611221500352520
71110015032310
oct167762144740
945505635663
1016102509024
1169134a03a8
123154845740
131698097a64
14aca817440
156439e3bb9
hex3bfc8c9e0

16102509024 has 96 divisors (see below), whose sum is σ = 50407902720. Its totient is φ = 4400681472.

The previous prime is 16102509013. The next prime is 16102509041. The reversal of 16102509024 is 42090520161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 16102508982 and 16102509000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 505459 + ... + 536370.

It is an arithmetic number, because the mean of its divisors is an integer number (525082320).

Almost surely, 216102509024 is an apocalyptic number.

16102509024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16102509024 is an abundant number, since it is smaller than the sum of its proper divisors (34305393696).

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

16102509024 is a wasteful number, since it uses less digits than its factorization.

16102509024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041872 (or 1041864 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 16102509024 in words is "sixteen billion, one hundred two million, five hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 1041829 2083658 3125487 4167316 6250974 7292803 8334632 12501948 14585606 16669264 21878409 23962067 25003896 29171212 33338528 43756818 47924134 50007792 58342424 71886201 87513636 95848268 100015584 116684848 143772402 167734469 175027272 191696536 233369696 287544804 335468938 350054544 383393072 503203407 575089608 670937876 700109088 766786144 1006406814 1150179216 1341875752 2012813628 2300358432 2683751504 4025627256 5367503008 8051254512 16102509024