Search a number
-
+
10385108536 = 23114319114369
BaseRepresentation
bin10011010110000000…
…00010111000111000
3222210202102011201111
421223000002320320
5132232041433121
64434300530104
7515231652235
oct115300027070
928722364644
1010385108536
11444a139830
122019b50934
13c9671694a
1470736c78c
1540bace2e1
hex26b002e38

10385108536 has 64 divisors (see below), whose sum is σ = 21851596800. Its totient is φ = 4586265600.

The previous prime is 10385108519. The next prime is 10385108537. The reversal of 10385108536 is 63580158301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385108537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715560 + ... + 729928.

It is an arithmetic number, because the mean of its divisors is an integer number (341431200).

Almost surely, 210385108536 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 10385108536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925798400).

10385108536 is an abundant number, since it is smaller than the sum of its proper divisors (11466488264).

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

10385108536 is a wasteful number, since it uses less digits than its factorization.

10385108536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14620 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 10385108536 in words is "ten billion, three hundred eighty-five million, one hundred eight thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 191 344 382 473 764 946 1528 1892 2101 3784 4202 8213 8404 14369 16426 16808 28738 32852 57476 65704 90343 114952 158059 180686 316118 361372 617867 632236 722744 1235734 1264472 2471468 2744479 4942936 5488958 6796537 10977916 13593074 21955832 27186148 30189269 54372296 60378538 118012597 120757076 236025194 241514152 472050388 944100776 1298138567 2596277134 5192554268 10385108536