Search a number
-
+
20177841982032 = 2434717831576321
BaseRepresentation
bin1001001011010000001010…
…00110101000101001010000
32122102222112111112020210000
410211220011012220221100
510121043210021411112
6110525323405010000
74151541506644260
oct445500506505120
978388474466700
1020177841982032
11647a413844399
12231a726553900
13b349bab05677
144da8815c77a0
1524ed12db67dc
hex125a051a8a50

20177841982032 has 400 divisors, whose sum is σ = 71521033110912. Its totient is φ = 5360597729280.

The previous prime is 20177841982021. The next prime is 20177841982057. The reversal of 20177841982032 is 23028914877102.

20177841982032 is a `hidden beast` number, since 2 + 0 + 17 + 7 + 8 + 419 + 8 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20177841982032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12012432 + ... + 13588752.

Almost surely, 220177841982032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20177841982032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35760516555456).

20177841982032 is an abundant number, since it is smaller than the sum of its proper divisors (51343191128880).

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

20177841982032 is a wasteful number, since it uses less digits than its factorization.

20177841982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576448 (or 1576433 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 20177841982032 in words is "twenty trillion, one hundred seventy-seven billion, eight hundred forty-one million, nine hundred eighty-two thousand, thirty-two".