Search a number
-
+
2169966025920 = 263571123118581
BaseRepresentation
bin11111100100111100000…
…011011101110011000000
321200110001122220120102010
4133210330003131303000
5241023042300312140
64340511342452520
7312526531613310
oct37447403356300
97613048816363
102169966025920
11767306283800
122b0679294140
1312981c454644
1477053c01440
153b6a4866880
hex1f93c0ddcc0

2169966025920 has 672 divisors, whose sum is σ = 8683597698048. Its totient is φ = 449399808000.

The previous prime is 2169966025907. The next prime is 2169966025939. The reversal of 2169966025920 is 295206699612.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×21699660259202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252876030 + ... + 252884610.

It is an arithmetic number, because the mean of its divisors is an integer number (12922020384).

Almost surely, 22169966025920 is an apocalyptic number.

2169966025920 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 2169966025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341798849024).

2169966025920 is an abundant number, since it is smaller than the sum of its proper divisors (6513631672128).

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

2169966025920 is a wasteful number, since it uses less digits than its factorization.

2169966025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8941 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 2169966025920 in words is "two trillion, one hundred sixty-nine billion, nine hundred sixty-six million, twenty-five thousand, nine hundred twenty".