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272196074409480 = 23365131315481251
BaseRepresentation
bin111101111000111110010110…
…010100110000111000001000
31022200202200122102200201000000
4331320332112110300320020
5241134130030022100410
62402525052245043000
7111222342320416404
oct7570762624607010
91280680572621000
10272196074409480
117980378595a171
122664150a6b6460
13b8b5c9747b290
144b30508916104
1521706a055ddc0
hexf78f96530e08

272196074409480 has 448 divisors, whose sum is σ = 996424523075520. Its totient is φ = 66490632000000.

The previous prime is 272196074409473. The next prime is 272196074409533. The reversal of 272196074409480 is 84904470691272.

272196074409480 is a `hidden beast` number, since 2 + 7 + 2 + 19 + 607 + 4 + 4 + 0 + 9 + 4 + 8 + 0 = 666.

272196074409480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 46918855 + ... + 52400105.

It is an arithmetic number, because the mean of its divisors is an integer number (2224161881865).

Almost surely, 2272196074409480 is an apocalyptic number.

272196074409480 is a gapful number since it is divisible by the number (20) 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 272196074409480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498212261537760).

272196074409480 is an abundant number, since it is smaller than the sum of its proper divisors (724228448666040).

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

272196074409480 is a wasteful number, since it uses less digits than its factorization.

272196074409480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481424 (or 5481405 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 272196074409480 in words is "two hundred seventy-two trillion, one hundred ninety-six billion, seventy-four million, four hundred nine thousand, four hundred eighty".