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9938903040 = 213335111943
BaseRepresentation
bin10010100000110011…
…11010000000000000
3221122122210120212000
421100121322000000
5130323324344130
64322121104000
7501203165463
oct112031720000
927578716760
109938903040
114240284a60
121b14628000
13c25148121
146a3dbb2da
153d2840260
hex25067a000

9938903040 has 896 divisors, whose sum is σ = 41521075200. Its totient is φ = 2229534720.

The previous prime is 9938903017. The next prime is 9938903041. The reversal of 9938903040 is 403098399.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938903041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231137259 + ... + 231137301.

Almost surely, 29938903040 is an apocalyptic number.

9938903040 is a gapful number since it is divisible by the number (90) 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 9938903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760537600).

9938903040 is an abundant number, since it is smaller than the sum of its proper divisors (31582172160).

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

9938903040 is a wasteful number, since it uses less digits than its factorization.

9938903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9938903040 is about 99694.0471643117. The cubic root of 9938903040 is about 2150.0380768450.

The spelling of 9938903040 in words is "nine billion, nine hundred thirty-eight million, nine hundred three thousand, forty".