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10374040400 = 245225935101
BaseRepresentation
bin10011010100101011…
…10100101101010000
3222202222120212002112
421222111310231100
5132221223243100
64433223404452
7515035613513
oct115225645520
928688525075
1010374040400
11444396a109
1220162b3728
13c9433cb59
14705acad7a
1540ab44b35
hex26a574b50

10374040400 has 30 divisors (see below), whose sum is σ = 24923633022. Its totient is φ = 4149616000.

The previous prime is 10374040381. The next prime is 10374040409. The reversal of 10374040400 is 404047301.

It can be written as a sum of positive squares in 3 ways, for example, as 2521244944 + 7852795456 = 50212^2 + 88616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10374040409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12967151 + ... + 12967950.

Almost surely, 210374040400 is an apocalyptic number.

10374040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10374040400 is an abundant number, since it is smaller than the sum of its proper divisors (14549592622).

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

10374040400 is a wasteful number, since it uses less digits than its factorization.

10374040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25935119 (or 25935108 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 10374040400 its reverse (404047301), we get a palindrome (10778087701).

The spelling of 10374040400 in words is "ten billion, three hundred seventy-four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25935101 51870202 103740404 129675505 207480808 259351010 414961616 518702020 648377525 1037404040 1296755050 2074808080 2593510100 5187020200 10374040400