Search a number
-
+
842921149952 = 297317349809
BaseRepresentation
bin11000100010000100000…
…01000000011000000000
32222120201121212001220002
430101002001000120000
5102302300303244302
61443122125335132
7114620241362000
oct14210201003000
92876647761802
10842921149952
112a5532017a52
121174447074a8
136164429661b
142cb24892000
1516dd6494c02
hexc442040600

842921149952 has 320 divisors, whose sum is σ = 2088147600000. Its totient is φ = 338608521216.

The previous prime is 842921149951. The next prime is 842921149957. The reversal of 842921149952 is 259941129248.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842921149951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041929324 + ... + 1041930132.

It is an arithmetic number, because the mean of its divisors is an integer number (6525461250).

Almost surely, 2842921149952 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 842921149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044073800000).

842921149952 is an abundant number, since it is smaller than the sum of its proper divisors (1245226450048).

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

842921149952 is an equidigital number, since it uses as much as digits as its factorization.

842921149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1184 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 56.

The spelling of 842921149952 in words is "eight hundred forty-two billion, nine hundred twenty-one million, one hundred forty-nine thousand, nine hundred fifty-two".