Search a number
-
+
10645451436114 = 23211103521989381
BaseRepresentation
bin1001101011101001011001…
…0110011111000001010010
31101200200202210222111022100
42122322112112133001102
52343403341031423424
634350241453221230
72146052132131005
oct232722626370122
941620683874270
1010645451436114
11343478a89a260
12123b1b0191816
135c2b283a7411
1428b35799553c
15136da5172dc9
hex9ae9659f052

10645451436114 has 48 divisors (see below), whose sum is σ = 25406267200704. Its totient is φ = 3194575005600.

The previous prime is 10645451436083. The next prime is 10645451436127. The reversal of 10645451436114 is 41163415454601.

10645451436114 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 54 + 51 + 436 + 114 = 666.

10645451436114 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 2×106454514361142 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10645451436114.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260974297 + ... + 261015084.

It is an arithmetic number, because the mean of its divisors is an integer number (529297233348).

Almost surely, 210645451436114 is an apocalyptic number.

10645451436114 is an abundant number, since it is smaller than the sum of its proper divisors (14760815764590).

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

10645451436114 is a wasteful number, since it uses less digits than its factorization.

10645451436114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521989503 (or 521989500 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10645451436114 in words is "ten trillion, six hundred forty-five billion, four hundred fifty-one million, four hundred thirty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 2266 3399 6798 10197 20394 521989381 1043978762 1565968143 3131936286 4697904429 5741883191 9395808858 11483766382 17225649573 34451299146 51676948719 53764906243 103353897438 107529812486 161294718729 322589437458 483884156187 591413968673 967768312374 1182827937346 1774241906019 3548483812038 5322725718057 10645451436114