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10024711068 = 22319294136979
BaseRepresentation
bin10010101011000010…
…01111001110011100
3221212122021002100010
421111201033032130
5131012311223233
64334424203220
7503264431611
oct112541171634
927778232303
1010024711068
114284762889
121b39309510
13c39b5ccc8
146b1556508
153da13eb63
hex25584f39c

10024711068 has 96 divisors (see below), whose sum is σ = 26093088000. Its totient is φ = 2981905920.

The previous prime is 10024711043. The next prime is 10024711127. The reversal of 10024711068 is 86011742001.

10024711068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 252603 + ... + 289581.

It is an arithmetic number, because the mean of its divisors is an integer number (271803000).

Almost surely, 210024711068 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 10024711068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046544000).

10024711068 is an abundant number, since it is smaller than the sum of its proper divisors (16068376932).

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

10024711068 is a wasteful number, since it uses less digits than its factorization.

10024711068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37075 (or 37073 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 10024711068 in words is "ten billion, twenty-four million, seven hundred eleven thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 29 38 41 57 58 76 82 87 114 116 123 164 174 228 246 348 492 551 779 1102 1189 1558 1653 2204 2337 2378 3116 3306 3567 4674 4756 6612 7134 9348 14268 22591 36979 45182 67773 73958 90364 110937 135546 147916 221874 271092 443748 702601 1072391 1405202 1516139 2107803 2144782 2810404 3032278 3217173 4215606 4289564 4548417 6064556 6434346 8431212 9096834 12868692 18193668 20375429 28806641 40750858 43968031 57613282 61126287 81501716 86419923 87936062 115226564 122252574 131904093 172839846 175872124 244505148 263808186 345679692 527616372 835392589 1670785178 2506177767 3341570356 5012355534 10024711068