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162890290992 = 2431121310212113
BaseRepresentation
bin1001011110110100000…
…1001001011100110000
3120120110002211010212110
42113231001021130300
510132044403302432
6202455240125320
714524400425362
oct2275501113460
9516402733773
10162890290992
1163099360600
122769b766840
131248bcbb390
147c5371cd32
1543855aedcc
hex25ed049730

162890290992 has 240 divisors, whose sum is σ = 498835371104. Its totient is φ = 45497548800.

The previous prime is 162890290973. The next prime is 162890291077. The reversal of 162890290992 is 299092098261.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77088528 + ... + 77090640.

Almost surely, 2162890290992 is an apocalyptic number.

162890290992 is a gapful number since it is divisible by the number (12) 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 162890290992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249417685552).

162890290992 is an abundant number, since it is smaller than the sum of its proper divisors (335945080112).

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

162890290992 is a wasteful number, since it uses less digits than its factorization.

162890290992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The spelling of 162890290992 in words is "one hundred sixty-two billion, eight hundred ninety million, two hundred ninety thousand, nine hundred ninety-two".