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10603876806 = 2332361672089
BaseRepresentation
bin10011110000000101…
…00101000111000110
31000101000001202101000
421320002211013012
5133204043024211
64512113514130
7523526315505
oct117002450706
930330052330
1010603876806
114551680656
12207b272946
13cccb42823
1472843883c
15420de4656
hex2780a51c6

10603876806 has 128 divisors (see below), whose sum is σ = 25376947200. Its totient is φ = 3274318080.

The previous prime is 10603876729. The next prime is 10603876807. The reversal of 10603876806 is 60867830601.

10603876806 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106038768062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10603876807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5075010 + ... + 5077098.

It is an arithmetic number, because the mean of its divisors is an integer number (198257400).

Almost surely, 210603876806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10603876806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688473600).

10603876806 is an abundant number, since it is smaller than the sum of its proper divisors (14773070394).

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

10603876806 is a wasteful number, since it uses less digits than its factorization.

10603876806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10603876806 in words is "ten billion, six hundred three million, eight hundred seventy-six thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 67 69 122 134 138 183 201 207 366 402 414 549 603 621 1098 1206 1242 1403 1541 1647 1809 2089 2806 3082 3294 3618 4087 4178 4209 4623 6267 8174 8418 9246 12261 12534 12627 13869 18801 24522 25254 27738 36783 37602 37881 41607 48047 56403 73566 75762 83214 94001 96094 110349 112806 127429 139963 144141 188002 220698 254858 279926 282003 288282 382287 419889 432423 564006 764574 839778 846009 864846 1146861 1259667 1297269 1692018 2293722 2519334 2538027 2594538 2930867 3219149 3440583 3779001 5076054 5861734 6438298 6881166 7558002 8537743 8792601 9657447 17075486 17585202 19314894 25613229 26377803 28972341 51226458 52755606 57944682 76839687 79133409 86917023 153679374 158266818 173834046 196368089 230519061 392736178 461038122 589104267 1178208534 1767312801 3534625602 5301938403 10603876806