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10542553240 = 23523110910333
BaseRepresentation
bin10011101000110001…
…01001100010011000
31000012201200012020211
421310120221202120
5133042343200430
64502043300504
7522153136552
oct116430514230
930181605224
1010542553240
11451aaa631a
12206281a734
13cc02212ab
147202344d2
1541a82e72a
hex274629898

10542553240 has 64 divisors (see below), whose sum is σ = 24776798400. Its totient is φ = 4029645312.

The previous prime is 10542553157. The next prime is 10542553249. The reversal of 10542553240 is 4235524501.

It is a super-2 number, since 2×105425532402 (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 (10542553249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015114 + ... + 1025446.

It is an arithmetic number, because the mean of its divisors is an integer number (387137475).

Almost surely, 210542553240 is an apocalyptic number.

10542553240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542553240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388399200).

10542553240 is an abundant number, since it is smaller than the sum of its proper divisors (14234245160).

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

10542553240 is a wasteful number, since it uses less digits than its factorization.

10542553240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476 (or 11472 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 10542553240 in words is "ten billion, five hundred forty-two million, five hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1109 2218 4436 5545 8872 10333 11090 20666 22180 25507 41332 44360 51014 51665 82664 102028 103330 127535 204056 206660 237659 255070 413320 475318 510140 950636 1020280 1188295 1901272 2376590 4753180 9506360 11459297 22918594 45837188 57296485 91674376 114592970 229185940 263563831 458371880 527127662 1054255324 1317819155 2108510648 2635638310 5271276620 10542553240