Search a number
-
+
10693130784 = 253725316287
BaseRepresentation
bin10011111010101110…
…00011101000100000
31000121020000022210220
421331113003220200
5133344420141114
64525022523040
7525662053260
oct117527035040
930536008726
1010693130784
114597aa2476
1220a5136480
13101549302b
1473622d7a0
15428b750a9
hex27d5c3a20

10693130784 has 96 divisors (see below), whose sum is σ = 32097171456. Its totient is φ = 3053487360.

The previous prime is 10693130779. The next prime is 10693130797. The reversal of 10693130784 is 48703139601.

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

It is a super-2 number, since 2×106931307842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1697689 + ... + 1703975.

It is an arithmetic number, because the mean of its divisors is an integer number (334345536).

Almost surely, 210693130784 is an apocalyptic number.

10693130784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10693130784 is an abundant number, since it is smaller than the sum of its proper divisors (21404040672).

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

10693130784 is a wasteful number, since it uses less digits than its factorization.

10693130784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10693130784 in words is "ten billion, six hundred ninety-three million, one hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2531 5062 6287 7593 10124 12574 15186 17717 18861 20248 25148 30372 35434 37722 40496 44009 50296 53151 60744 70868 75444 80992 88018 100592 106302 121488 132027 141736 150888 176036 201184 212604 242976 264054 283472 301776 352072 425208 528108 566944 603552 704144 850416 1056216 1408288 1700832 2112432 4224864 15912397 31824794 47737191 63649588 95474382 111386779 127299176 190948764 222773558 254598352 334160337 381897528 445547116 509196704 668320674 763795056 891094232 1336641348 1527590112 1782188464 2673282696 3564376928 5346565392 10693130784