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1922397998976 = 273372131515783
BaseRepresentation
bin11011111110010111110…
…110011000111110000000
320210210001012222202011000
4123332113312120332000
5222444032341431401
64031045404452000
7255613546244100
oct33762766307600
96723035882130
101922397998976
1168131460a944
122706a724a000
1310c387197480
146908a3b3200
15350152dc186
hex1bf97d98f80

1922397998976 has 768 divisors, whose sum is σ = 7156075852800. Its totient is φ = 503561318400.

The previous prime is 1922397998947. The next prime is 1922397998977. The reversal of 1922397998976 is 6798997932291.

It is a super-2 number, since 2×19223979989762 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1922397998895 and 1922397998904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1922397998977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332419381 + ... + 332425163.

It is an arithmetic number, because the mean of its divisors is an integer number (9317807100).

Almost surely, 21922397998976 is an apocalyptic number.

1922397998976 is a gapful number since it is divisible by the number (16) 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 1922397998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578037926400).

1922397998976 is an abundant number, since it is smaller than the sum of its proper divisors (5233677853824).

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

1922397998976 is a wasteful number, since it uses less digits than its factorization.

1922397998976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5959 counting only the distinct ones).

The product of its digits is 1666598976, while the sum is 81.

The spelling of 1922397998976 in words is "one trillion, nine hundred twenty-two billion, three hundred ninety-seven million, nine hundred ninety-eight thousand, nine hundred seventy-six".