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9974725326720 = 2734571131149541
BaseRepresentation
bin1001000100100110101111…
…1101011011011110000000
31022022120111202110211010000
42101021223331123132000
52301411214140423340
633114154153040000
72046435664226220
oct221115375333600
938276452424100
109974725326720
1131a6291451990
1211512033b6000
135747c6a5104b
14266aca4c6080
151246eb0b5d30
hex9126bf5b780

9974725326720 has 2560 divisors, whose sum is σ = 46236883968000. Its totient is φ = 1988665344000.

The previous prime is 9974725326697. The next prime is 9974725326767. The reversal of 9974725326720 is 276235274799.

9974725326720 is a `hidden beast` number, since 9 + 9 + 7 + 4 + 72 + 532 + 6 + 7 + 20 = 666.

9974725326720 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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18437569650 + ... + 18437570190.

It is an arithmetic number, because the mean of its divisors is an integer number (18061282800).

Almost surely, 29974725326720 is an apocalyptic number.

9974725326720 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 9974725326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23118441984000).

9974725326720 is an abundant number, since it is smaller than the sum of its proper divisors (36262158641280).

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

9974725326720 is a wasteful number, since it uses less digits than its factorization.

9974725326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 9974725326720 in words is "nine trillion, nine hundred seventy-four billion, seven hundred twenty-five million, three hundred twenty-six thousand, seven hundred twenty".