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9472864680 = 23335314167103
BaseRepresentation
bin10001101001010000…
…00111000110101000
3220110011212101102000
420310220013012220
5123400023132210
64203552211000
7453514010166
oct106450070650
926404771360
109472864680
114021204494
121a04539a60
13b7c724296
1465c146236
153a6984ac0
hex234a071a8

9472864680 has 512 divisors, whose sum is σ = 34217164800. Its totient is φ = 2326579200.

The previous prime is 9472864619. The next prime is 9472864757. The reversal of 9472864680 is 864682749.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 91969509 + ... + 91969611.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 29472864680 is an apocalyptic number.

9472864680 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 9472864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

9472864680 is an abundant number, since it is smaller than the sum of its proper divisors (24744300120).

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

9472864680 is a wasteful number, since it uses less digits than its factorization.

9472864680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 9472864680 is about 97328.6426495305. The cubic root of 9472864680 is about 2115.8933703890.

The spelling of 9472864680 in words is "nine billion, four hundred seventy-two million, eight hundred sixty-four thousand, six hundred eighty".