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10540052531040 = 253553673615617
BaseRepresentation
bin1001100101100000110000…
…0101100100011101100000
31101022121201101100100121110
42121120030011210131200
52340142011421443130
634230011105023320
72135331220203324
oct231301405443540
941277641310543
1010540052531040
1133a401396993a
121222896324b40
135b5bcc1bbcb6
142861d98b5984
15134286e87ab0
hex9960c164760

10540052531040 has 192 divisors, whose sum is σ = 33877921484736. Its totient is φ = 2753546944512.

The previous prime is 10540052531023. The next prime is 10540052531147. The reversal of 10540052531040 is 4013525004501.

It is a super-2 number, since 2×105400525310402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10540052530989 and 10540052531007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16813312 + ... + 17428928.

It is an arithmetic number, because the mean of its divisors is an integer number (176447507733).

Almost surely, 210540052531040 is an apocalyptic number.

10540052531040 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 10540052531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938960742368).

10540052531040 is an abundant number, since it is smaller than the sum of its proper divisors (23337868953696).

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

10540052531040 is a wasteful number, since it uses less digits than its factorization.

10540052531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616361 (or 616353 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 10540052531040 its reverse (4013525004501), we get a palindrome (14553577535541).

The spelling of 10540052531040 in words is "ten trillion, five hundred forty billion, fifty-two million, five hundred thirty-one thousand, forty".