Search a number
-
+
10706048316 = 223517647909
BaseRepresentation
bin10011111100010000…
…10101010100111100
31000122010022121100000
421332020111110330
5133411222021231
64530203434300
7526206623565
oct117610252474
930563277300
1010706048316
1145a4315617
1220a9525990
131018066842
14737c3316c
15429d776e6
hex27e21553c

10706048316 has 72 divisors (see below), whose sum is σ = 29715744240. Its totient is φ = 3358755072.

The previous prime is 10706048279. The next prime is 10706048341. The reversal of 10706048316 is 61384060701.

10706048316 is a `hidden beast` number, since 10 + 7 + 0 + 604 + 8 + 31 + 6 = 666.

10706048316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107060483162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 307431 + ... + 340478.

It is an arithmetic number, because the mean of its divisors is an integer number (412718670).

Almost surely, 210706048316 is an apocalyptic number.

It is an amenable number.

10706048316 is an abundant number, since it is smaller than the sum of its proper divisors (19009695924).

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

10706048316 is a wasteful number, since it uses less digits than its factorization.

10706048316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647945 (or 647931 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10706048316 in words is "ten billion, seven hundred six million, forty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 647909 1295818 1943727 2591636 3887454 5831181 7774908 11014453 11662362 17493543 22028906 23324724 33043359 34987086 44057812 52480629 66086718 69974172 99130077 104961258 132173436 157441887 198260154 209922516 297390231 314883774 396520308 594780462 629767548 892170693 1189560924 1784341386 2676512079 3568682772 5353024158 10706048316