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9445742991360 = 2113251361307421
BaseRepresentation
bin1000100101110100001000…
…1001111101100000000000
31020110000010001212220221100
42021131002021331200000
52214224340201210420
632031151525454400
71663301213453154
oct211350211754000
936400101786840
109445742991360
113011a0a739a15
121086794271400
13536964321810
14249268083064
15115a8ad79190
hex8974227d800

9445742991360 has 1152 divisors, whose sum is σ = 36035570450880. Its totient is φ = 2274125414400.

The previous prime is 9445742991343. The next prime is 9445742991367. The reversal of 9445742991360 is 631992475449.

9445742991360 is a `hidden beast` number, since 9 + 4 + 4 + 574 + 29 + 9 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×94457429913602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9445742991367) 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, 22436443950 + ... + 22436444370.

Almost surely, 29445742991360 is an apocalyptic number.

9445742991360 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 9445742991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017785225440).

9445742991360 is an abundant number, since it is smaller than the sum of its proper divisors (26589827459520).

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

9445742991360 is a wasteful number, since it uses less digits than its factorization.

9445742991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9445742991360 in words is "nine trillion, four hundred forty-five billion, seven hundred forty-two million, nine hundred ninety-one thousand, three hundred sixty".