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10385360685 = 3257311063529
BaseRepresentation
bin10011010110000010…
…00000011100101101
3222210202212222121100
421223001000130231
5132232123020220
64434310153313
7515234052330
oct115301003455
928722788540
1010385360685
11444a2a1217
12201a052839
13c967a464b
147073d6617
1540bb2dd90
hex26b04072d

10385360685 has 48 divisors (see below), whose sum is σ = 21236567040. Its totient is φ = 4594440960.

The previous prime is 10385360669. The next prime is 10385360693. The reversal of 10385360685 is 58606358301.

10385360685 is a `hidden beast` number, since 1 + 0 + 38 + 5 + 3 + 606 + 8 + 5 = 666.

It is not a de Polignac number, because 10385360685 - 24 = 10385360669 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10385360685.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522000 + ... + 541529.

It is an arithmetic number, because the mean of its divisors is an integer number (442428480).

Almost surely, 210385360685 is an apocalyptic number.

10385360685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10385360685 is an abundant number, since it is smaller than the sum of its proper divisors (10851206355).

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

10385360685 is a wasteful number, since it uses less digits than its factorization.

10385360685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063578 (or 1063575 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10385360685 in words is "ten billion, three hundred eighty-five million, three hundred sixty thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 1063529 3190587 5317645 7444703 9571761 15952935 22334109 32969399 37223515 47858805 67002327 98908197 111670545 164846995 230785793 296724591 335011635 494540985 692357379 1153928965 1483622955 2077072137 3461786895 10385360685