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9740494213560 = 233251131169346867
BaseRepresentation
bin1000110110111110001010…
…1100101001000110111000
31021111011220210022102010200
42031233202230221012320
52234042013004313220
632414415443242200
72023504345506405
oct215574254510670
937434823272120
109740494213560
113115a1405a820
121113933979360
135586a88b9536
1425962a0852ac
1511d58c83e890
hex8dbe2b291b8

9740494213560 has 384 divisors, whose sum is σ = 35670312437760. Its totient is φ = 2283761433600.

The previous prime is 9740494213511. The next prime is 9740494213561. The reversal of 9740494213560 is 653124940479.

9740494213560 is a `hidden beast` number, since 9 + 7 + 40 + 494 + 21 + 35 + 60 = 666.

9740494213560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9740494213497 and 9740494213506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9740494213561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207809247 + ... + 207856113.

It is an arithmetic number, because the mean of its divisors is an integer number (92891438640).

Almost surely, 29740494213560 is an apocalyptic number.

9740494213560 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 9740494213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17835156218880).

9740494213560 is an abundant number, since it is smaller than the sum of its proper divisors (25929818224200).

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

9740494213560 is a wasteful number, since it uses less digits than its factorization.

9740494213560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48619 (or 48612 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 9740494213560 in words is "nine trillion, seven hundred forty billion, four hundred ninety-four million, two hundred thirteen thousand, five hundred sixty".