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2329041691920 = 24351929127138679
BaseRepresentation
bin100001111001000101101…
…100111110010100010000
322020122122220211200112110
4201321011230332110100
5301124334133120140
64541540314225320
7330160552511226
oct41710554762420
98218586750473
102329041691920
11818817354069
12317473425240
1313b821057868
1480a24a62b16
15408b50bc380
hex21e45b3e510

2329041691920 has 320 divisors, whose sum is σ = 7924064256000. Its totient is φ = 563622893568.

The previous prime is 2329041691913. The next prime is 2329041691961. The reversal of 2329041691920 is 291961409232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2329041691920.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16725141 + ... + 16863819.

It is an arithmetic number, because the mean of its divisors is an integer number (24762700800).

Almost surely, 22329041691920 is an apocalyptic number.

2329041691920 is a gapful number since it is divisible by the number (20) 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 2329041691920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962032128000).

2329041691920 is an abundant number, since it is smaller than the sum of its proper divisors (5595022564080).

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

2329041691920 is a wasteful number, since it uses less digits than its factorization.

2329041691920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138870 (or 138864 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 2329041691920 in words is "two trillion, three hundred twenty-nine billion, forty-one million, six hundred ninety-one thousand, nine hundred twenty".