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9690630480 = 24335231071823
BaseRepresentation
bin10010000011001101…
…10100100101010000
3221000100122000221000
421001212310211100
5124321300133410
64241331502000
7462066666666
oct110146644520
927010560830
109690630480
114123121123
121a65457900
13bb588ba9b
1467d030c36
153bab4cdc0
hex2419b4950

9690630480 has 320 divisors, whose sum is σ = 35174891520. Its totient is φ = 2447368704.

The previous prime is 9690630427. The next prime is 9690630487. The reversal of 9690630480 is 840360969.

9690630480 is a `hidden beast` number, since 9 + 6 + 9 + 0 + 630 + 4 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 984412-1.

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 (9690630487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5314849 + ... + 5316671.

It is an arithmetic number, because the mean of its divisors is an integer number (109921536).

Almost surely, 29690630480 is an apocalyptic number.

9690630480 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 9690630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587445760).

9690630480 is an abundant number, since it is smaller than the sum of its proper divisors (25484261040).

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

9690630480 is a wasteful number, since it uses less digits than its factorization.

9690630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9690630480 is about 98440.9999949208. Note that the first 5 decimals coincide. The cubic root of 9690630480 is about 2131.9843439932.

The spelling of 9690630480 in words is "nine billion, six hundred ninety million, six hundred thirty thousand, four hundred eighty".