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10540437490 = 251195822159
BaseRepresentation
bin10011101000100001…
…00100111111110010
31000012120200200222201
421310100210333302
5133041322444430
64501530053414
7522126145312
oct116420447762
930176620881
1010540437490
114519890770
122061b7a26a
13cbc96027b
1471dc43442
1541a5628ca
hex274424ff2

10540437490 has 16 divisors (see below), whose sum is σ = 20697586560. Its totient is φ = 3832886320.

The previous prime is 10540437443. The next prime is 10540437491. The reversal of 10540437490 is 9473404501.

10540437490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105404374903 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10540437491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47910970 + ... + 47911189.

It is an arithmetic number, because the mean of its divisors is an integer number (1293599160).

Almost surely, 210540437490 is an apocalyptic number.

10540437490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10540437490 is a deficient number, since it is larger than the sum of its proper divisors (10157149070).

10540437490 is a wasteful number, since it uses less digits than its factorization.

10540437490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95822177.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 10540437490 in words is "ten billion, five hundred forty million, four hundred thirty-seven thousand, four hundred ninety".

Divisors: 1 2 5 10 11 22 55 110 95822159 191644318 479110795 958221590 1054043749 2108087498 5270218745 10540437490