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9488630981214 = 23371129735212069
BaseRepresentation
bin1000101000010011111001…
…1110101010001001011110
31020121002211000012112202000
42022010332132222021132
52220430204012344324
632103003352143130
71666350056403360
oct212047636521136
936532730175660
109488630981214
113029118903530
121092b63397aa6
1353aa0a7cb2c8
1424b37601ad30
15116c4b17b9c9
hex8a13e7aa25e

9488630981214 has 512 divisors, whose sum is σ = 27634162176000. Its totient is φ = 2341359820800.

The previous prime is 9488630981213. The next prime is 9488630981227. The reversal of 9488630981214 is 4121890368849.

9488630981214 is a `hidden beast` number, since 9 + 488 + 63 + 0 + 9 + 81 + 2 + 14 = 666.

9488630981214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9488630981213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4586094172 + ... + 4586096240.

It is an arithmetic number, because the mean of its divisors is an integer number (53972973000).

Almost surely, 29488630981214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9488630981214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817081088000).

9488630981214 is an abundant number, since it is smaller than the sum of its proper divisors (18145531194786).

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

9488630981214 is a wasteful number, since it uses less digits than its factorization.

9488630981214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 9488630981214 in words is "nine trillion, four hundred eighty-eight billion, six hundred thirty million, nine hundred eighty-one thousand, two hundred fourteen".