Search a number
-
+
20648163366936 = 2333716788499241
BaseRepresentation
bin1001011000111100001100…
…11100010101100000011000
32201002221112000012002212000
410230132012130111200120
510201244414310220221
6111525345120321000
74230531510522210
oct454360634254030
981087460162760
1020648163366936
116640922a19016
122395904173160
13b6a162335a21
1451553ad41240
1525c18d205e26
hex12c786715818

20648163366936 has 256 divisors, whose sum is σ = 65956826880000. Its totient is φ = 5862851850240.

The previous prime is 20648163366917. The next prime is 20648163366953. The reversal of 20648163366936 is 63966336184602.

20648163366936 is a `hidden beast` number, since 2 + 0 + 6 + 481 + 6 + 3 + 3 + 66 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2234403276 + ... + 2234412516.

It is an arithmetic number, because the mean of its divisors is an integer number (257643855000).

Almost surely, 220648163366936 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 20648163366936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32978413440000).

20648163366936 is an abundant number, since it is smaller than the sum of its proper divisors (45308663513064).

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

20648163366936 is a wasteful number, since it uses less digits than its factorization.

20648163366936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 63.

The spelling of 20648163366936 in words is "twenty trillion, six hundred forty-eight billion, one hundred sixty-three million, three hundred sixty-six thousand, nine hundred thirty-six".