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2422965971328 = 273741206310657
BaseRepresentation
bin100011010000100100000…
…001101010100110000000
322120122002122221102222120
4203100210001222212000
5304144213242040303
65053032321404240
7340024232640510
oct43204401524600
98518078842876
102422965971328
11854635140381
12331706499680
1314763bba8c56
14853b4c03840
1543060c13553
hex2342406a980

2422965971328 has 256 divisors, whose sum is σ = 7539192944640. Its totient is φ = 675000483840.

The previous prime is 2422965971297. The next prime is 2422965971329. The reversal of 2422965971328 is 8231795692242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422965971329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227353776 + ... + 227364432.

It is an arithmetic number, because the mean of its divisors is an integer number (29449972440).

Almost surely, 22422965971328 is an apocalyptic number.

2422965971328 is a gapful number since it is divisible by the number (28) 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 2422965971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769596472320).

2422965971328 is an abundant number, since it is smaller than the sum of its proper divisors (5116226973312).

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

2422965971328 is a wasteful number, since it uses less digits than its factorization.

2422965971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785 (or 12773 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 2422965971328 in words is "two trillion, four hundred twenty-two billion, nine hundred sixty-five million, nine hundred seventy-one thousand, three hundred twenty-eight".