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10540541420 = 225539943907
BaseRepresentation
bin10011101000100001…
…11110010111101100
31000012120212222112222
421310100332113230
5133041334311140
64501532214512
7522130060313
oct116420762754
930176788488
1010540541420
114519951862
12206200a438
13cbc998676
1471dc6d27a
1541a5835b5
hex27443e5ec

10540541420 has 24 divisors (see below), whose sum is σ = 22552783344. Its totient is φ = 4136664896.

The previous prime is 10540541413. The next prime is 10540541423. The reversal of 10540541420 is 2414504501.

It is a super-2 number, since 2×105405414202 (a number of 21 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 10540541420.

It is not an unprimeable number, because it can be changed into a prime (10540541423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4970894 + ... + 4973013.

It is an arithmetic number, because the mean of its divisors is an integer number (939699306).

Almost surely, 210540541420 is an apocalyptic number.

10540541420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540541420 is an abundant number, since it is smaller than the sum of its proper divisors (12012241924).

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

10540541420 is a wasteful number, since it uses less digits than its factorization.

10540541420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943969 (or 9943967 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 10540541420 in words is "ten billion, five hundred forty million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 9943907 19887814 39775628 49719535 99439070 198878140 527027071 1054054142 2108108284 2635135355 5270270710 10540541420