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10092400542 = 2327215772883
BaseRepresentation
bin10010110011000110…
…11100111110011110
3222001100122001211200
421121203130332132
5131132123304132
64345243100330
7505045663200
oct113143347636
928040561750
1010092400542
1143099959a4
121b57b116a6
13c4ab9cc53
146ba536770
153e1060d7c
hex2598dcf9e

10092400542 has 72 divisors (see below), whose sum is σ = 25599338856. Its totient is φ = 2865137184.

The previous prime is 10092400541. The next prime is 10092400547. The reversal of 10092400542 is 24500429001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10092400541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102033 + ... + 174915.

It is an arithmetic number, because the mean of its divisors is an integer number (355546373).

Almost surely, 210092400542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10092400542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799669428).

10092400542 is an abundant number, since it is smaller than the sum of its proper divisors (15506938314).

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

10092400542 is a wasteful number, since it uses less digits than its factorization.

10092400542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73062 (or 73052 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10092400542 its reverse (24500429001), we get a palindrome (34592829543).

The spelling of 10092400542 in words is "ten billion, ninety-two million, four hundred thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 157 294 314 441 471 882 942 1099 1413 2198 2826 3297 6594 7693 9891 15386 19782 23079 46158 69237 72883 138474 145766 218649 437298 510181 655947 1020362 1311894 1530543 3061086 3571267 4591629 7142534 9183258 10713801 11442631 21427602 22885262 32141403 34327893 64282806 68655786 80098417 102983679 160196834 205967358 240295251 480590502 560688919 720885753 1121377838 1441771506 1682066757 3364133514 5046200271 10092400542