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272493529920 = 2633550362701
BaseRepresentation
bin1111110111000111100…
…0010100101101000000
3222001100112122120101000
43331301320110231000
513431031320424140
6325103134012000
725454433534123
oct3756170245500
9861315576330
10272493529920
11a56225481a7
1244989647000
131c90823c001
14d28dd423ba
15714c933a30
hex3f71e14b40

272493529920 has 224 divisors, whose sum is σ = 963223107840. Its totient is φ = 72519321600.

The previous prime is 272493529901. The next prime is 272493529943. The reversal of 272493529920 is 29925394272.

272493529920 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 93 + 529 + 9 + 20 = 666.

272493529920 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4314570 + ... + 4377270.

It is an arithmetic number, because the mean of its divisors is an integer number (4300103160).

Almost surely, 2272493529920 is an apocalyptic number.

272493529920 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 272493529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481611553920).

272493529920 is an abundant number, since it is smaller than the sum of its proper divisors (690729577920).

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

272493529920 is a wasteful number, since it uses less digits than its factorization.

272493529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63230 (or 63214 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 272493529920 in words is "two hundred seventy-two billion, four hundred ninety-three million, five hundred twenty-nine thousand, nine hundred twenty".