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9488010240 = 2103251910837
BaseRepresentation
bin10001101011000011…
…11000110000000000
3220111020100212012200
420311201320300000
5123412412311430
64205252553200
7454056520302
oct106541706000
926436325180
109488010240
114029809585
121a09622800
13b828c7c57
14660169972
153a7e77460
hex235878c00

9488010240 has 264 divisors, whose sum is σ = 34609202160. Its totient is φ = 2396749824.

The previous prime is 9488010227. The next prime is 9488010269. The reversal of 9488010240 is 420108849.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9488010195 and 9488010204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870102 + ... + 880938.

Almost surely, 29488010240 is an apocalyptic number.

9488010240 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 9488010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304601080).

9488010240 is an abundant number, since it is smaller than the sum of its proper divisors (25121191920).

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

9488010240 is a wasteful number, since it uses less digits than its factorization.

9488010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9488010240 is about 97406.4178583732. The cubic root of 9488010240 is about 2117.0204256587.

The spelling of 9488010240 in words is "nine billion, four hundred eighty-eight million, ten thousand, two hundred forty".