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9697812480 = 2133453779
BaseRepresentation
bin10010000100000100…
…01110000000000000
3221000212010220210000
421002002032000000
5124330114444410
64242145440000
7462215021526
oct110202160000
927025126700
109697812480
114127187064
121a67940000
13bb7204aa5
1467dd80316
153bb5badc0
hex24208e000

9697812480 has 560 divisors, whose sum is σ = 36157936320. Its totient is φ = 2484338688.

The previous prime is 9697812461. The next prime is 9697812499. The reversal of 9697812480 is 842187969.

9697812480 is a `hidden beast` number, since 96 + 9 + 78 + 1 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9697812461) and next prime (9697812499).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122757081 + ... + 122757159.

Almost surely, 29697812480 is an apocalyptic number.

9697812480 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 9697812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078968160).

9697812480 is an abundant number, since it is smaller than the sum of its proper divisors (26460123840).

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

9697812480 is an equidigital number, since it uses as much as digits as its factorization.

9697812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9697812480 is about 98477.4719415563. The cubic root of 9697812480 is about 2132.5109052061.

The spelling of 9697812480 in words is "nine billion, six hundred ninety-seven million, eight hundred twelve thousand, four hundred eighty".