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655242056285328 = 2434109139151223991
BaseRepresentation
bin1001010011111100000110111…
…0000000011011110010010000
310011221000112021111202220110000
42110333001232000123302100
51141340441212402112303
610241330013424410000
7255005450662146261
oct22477015600336220
93157015244686400
10655242056285328
1117a864660714396
12615a6372a76900
13221800a36b8b55
14b7b3c55a18968
1550b4539c89da3
hex253f06e01bc90

655242056285328 has 800 divisors, whose sum is σ = 1951061968486400. Its totient is φ = 212258952576000.

The previous prime is 655242056285317. The next prime is 655242056285329. The reversal of 655242056285328 is 823582650242556.

655242056285328 is a `hidden beast` number, since 6 + 5 + 5 + 2 + 4 + 20 + 5 + 6 + 285 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (655242056285329) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 661192790913 + ... + 661192791903.

It is an arithmetic number, because the mean of its divisors is an integer number (2438827460608).

Almost surely, 2655242056285328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655242056285328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975530984243200).

655242056285328 is an abundant number, since it is smaller than the sum of its proper divisors (1295819912201072).

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

655242056285328 is a wasteful number, since it uses less digits than its factorization.

655242056285328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 63.

The spelling of 655242056285328 in words is "six hundred fifty-five trillion, two hundred forty-two billion, fifty-six million, two hundred eighty-five thousand, three hundred twenty-eight".