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492572669952 = 2113112798387
BaseRepresentation
bin1110010101011111001…
…11100111100000000000
31202002102020101020211110
413022233213213200000
531032242100414302
61014141301443320
750405260420026
oct7125747474000
91662366336743
10492572669952
1117a998481500
127b569710540
13375ac45491c
1419baaa2a716
15cc2da57b6c
hex72af9e7800

492572669952 has 288 divisors, whose sum is σ = 1461887481600. Its totient is φ = 147357450240.

The previous prime is 492572669899. The next prime is 492572669959. The reversal of 492572669952 is 259966275294.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492572669959) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58726303 + ... + 58734689.

It is an arithmetic number, because the mean of its divisors is an integer number (5075998200).

Almost surely, 2492572669952 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 492572669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730943740800).

492572669952 is an abundant number, since it is smaller than the sum of its proper divisors (969314811648).

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

492572669952 is a wasteful number, since it uses less digits than its factorization.

492572669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8513 (or 8482 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 66.

The spelling of 492572669952 in words is "four hundred ninety-two billion, five hundred seventy-two million, six hundred sixty-nine thousand, nine hundred fifty-two".