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10540437492 = 22313197614673
BaseRepresentation
bin10011101000100001…
…00100111111110100
31000012120200200222210
421310100210333310
5133041322444432
64501530053420
7522126145314
oct116420447764
930176620883
1010540437492
114519890772
122061b7a270
13cbc960280
1471dc43444
1541a5628cc
hex274424ff4

10540437492 has 96 divisors (see below), whose sum is σ = 27922849920. Its totient is φ = 3067822080.

The previous prime is 10540437491. The next prime is 10540437499. The reversal of 10540437492 is 29473404501.

10540437492 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-2 number, since 2×105404374922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10540437492.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2253268 + ... + 2257940.

It is an arithmetic number, because the mean of its divisors is an integer number (290863020).

Almost surely, 210540437492 is an apocalyptic number.

10540437492 is a gapful number since it is divisible by the number (12) 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 10540437492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961424960).

10540437492 is an abundant number, since it is smaller than the sum of its proper divisors (17382412428).

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

10540437492 is a wasteful number, since it uses less digits than its factorization.

10540437492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 10540437492 in words is "ten billion, five hundred forty million, four hundred thirty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 761 988 1482 1522 2283 2964 3044 4566 4673 9132 9346 9893 14019 14459 18692 19786 28038 28918 29679 39572 43377 56076 57836 59358 60749 86754 88787 118716 121498 173508 177574 182247 187967 242996 266361 355148 364494 375934 532722 563901 728988 751868 1065444 1127802 1154231 2255604 2308462 3462693 3556153 4616924 6925386 7112306 10668459 13850772 14224612 21336918 42673836 46229989 67566907 92459978 135133814 138689967 184919956 202700721 270267628 277379934 405401442 554759868 810802884 878369791 1756739582 2635109373 3513479164 5270218746 10540437492