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10445804874 = 2345311032
BaseRepresentation
bin10011011101001111…
…00101010101001010
3222221222121212110000
421232213211111022
5132343111223444
64444305503430
7516566606421
oct115647452512
928858555400
1010445804874
11448042589a
122036341b76
13ca617883b
1471144c2b8
154120bd469
hex26e9e554a

10445804874 has 60 divisors (see below), whose sum is σ = 23869610226. Its totient is φ = 3413140848.

The previous prime is 10445804869. The next prime is 10445804879. The reversal of 10445804874 is 47840854401.

It is an interprime number because it is at equal distance from previous prime (10445804869) and next prime (10445804879).

It can be written as a sum of positive squares in only one way, i.e., 7982171649 + 2463633225 = 89343^2 + 49635^2 .

It is a super-2 number, since 2×104458048742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10445804879) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9469807 + ... + 9470909.

Almost surely, 210445804874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445804874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934805113).

10445804874 is an abundant number, since it is smaller than the sum of its proper divisors (13423805352).

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

10445804874 is an frugal number, since it uses more digits than its factorization.

10445804874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 10445804874 in words is "ten billion, four hundred forty-five million, eight hundred four thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1103 1431 2206 2862 3309 4293 6618 8586 9927 19854 29781 58459 59562 89343 116918 175377 178686 350754 526131 1052262 1216609 1578393 2433218 3156786 3649827 4735179 7299654 9470358 10949481 21898962 32848443 64480277 65696886 98545329 128960554 193440831 197090658 386881662 580322493 1160644986 1740967479 3481934958 5222902437 10445804874