Search a number
-
+
10241844804 = 223210121672
BaseRepresentation
bin10011000100111011…
…00010011001000100
3222102202211121211100
421202131202121010
5131433403013204
64412142140100
7511542146562
oct114235423104
928382747740
1010241844804
114386288654
121b99b81630
13c72b35bc9
146d2318a32
153ee230a39
hex262762644

10241844804 has 81 divisors (see below), whose sum is σ = 26305485661. Its totient is φ = 3359906400.

The previous prime is 10241844799. The next prime is 10241844857. The reversal of 10241844804 is 40844814201.

The square root of 10241844804 is 101202.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9840243204 + 401601600 = 99198^2 + 20040^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61328329 + ... + 61328495.

Almost surely, 210241844804 is an apocalyptic number.

10241844804 is the 101202-nd square number.

It is an amenable number.

10241844804 is an abundant number, since it is smaller than the sum of its proper divisors (16063640857).

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

10241844804 is a wasteful number, since it uses less digits than its factorization.

10241844804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 10241844804 by its sum of digits (36), we get a square (368706412944 = 6072122).

10241844804 divided by its sum of digits (36) gives a square (284495689 = 168672).

The spelling of 10241844804 in words is "ten billion, two hundred forty-one million, eight hundred forty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 101 167 202 303 334 404 501 606 668 909 1002 1212 1503 1818 2004 3006 3636 6012 10201 16867 20402 27889 30603 33734 40804 50601 55778 61206 67468 83667 91809 101202 111556 122412 151803 167334 183618 202404 251001 303606 334668 367236 502002 607212 1004004 1703567 2816789 3407134 5110701 5633578 6814268 8450367 10221402 11267156 15332103 16900734 20442804 25351101 30664206 33801468 50702202 61328412 101404404 284495689 568991378 853487067 1137982756 1706974134 2560461201 3413948268 5120922402 10241844804