Search a number
-
+
20843866612800 = 263252711197571307
BaseRepresentation
bin1001011110101000101110…
…10000111110010001000000
32201210122122220101001202100
410233110113100332101000
510213001214323102200
6112155312400150400
74250630305622220
oct457242720762100
981718586331670
1020843866612800
11670691a339240
122407820908400
13b82750400c1a
14520bc4502080
152622e4337d00
hex12f51743e440

20843866612800 has 2016 divisors, whose sum is σ = 97428708449280. Its totient is φ = 4094679859200.

The previous prime is 20843866612763. The next prime is 20843866612969. The reversal of 20843866612800 is 821666834802.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15947869747 + ... + 15947871053.

Almost surely, 220843866612800 is an apocalyptic number.

20843866612800 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 20843866612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48714354224640).

20843866612800 is an abundant number, since it is smaller than the sum of its proper divisors (76584841836480).

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

20843866612800 is a wasteful number, since it uses less digits than its factorization.

20843866612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20843866612800 in words is "twenty trillion, eight hundred forty-three billion, eight hundred sixty-six million, six hundred twelve thousand, eight hundred".