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10937940000 = 253541337379
BaseRepresentation
bin10100010111111001…
…11011100000100000
31001020021122220220220
422023330323200200
5134400103040000
65005210003040
7535023645621
oct121374734040
931207586826
1010937940000
114703200239
122153116480
131054108b60
1475a957a48
154403d11a0
hex28bf3b820

10937940000 has 480 divisors, whose sum is σ = 39787513920. Its totient is φ = 2612736000.

The previous prime is 10937939993. The next prime is 10937940001. The reversal of 10937940000 is 4973901.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (10937940001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28859811 + ... + 28860189.

It is an arithmetic number, because the mean of its divisors is an integer number (82890654).

Almost surely, 210937940000 is an apocalyptic number.

10937940000 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 10937940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893756960).

10937940000 is an abundant number, since it is smaller than the sum of its proper divisors (28849573920).

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

10937940000 is a wasteful number, since it uses less digits than its factorization.

10937940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 10937940000 in words is "ten billion, nine hundred thirty-seven million, nine hundred forty thousand".