Search a number
-
+
21250768770 = 23457112931379
BaseRepresentation
bin10011110010101001…
…001111111110000010
32000212000001220110000
4103302221033332002
5322010144100040
613432405420430
71351420361040
oct236251177602
960760056400
1021250768770
119015561120
124150a0a716
1320088663ba
14105846d390
15845984130
hex4f2a4ff82

21250768770 has 640 divisors, whose sum is σ = 76275302400. Its totient is φ = 4115059200.

The previous prime is 21250768769. The next prime is 21250768783. The reversal of 21250768770 is 7786705212.

21250768770 is a `hidden beast` number, since 2 + 12 + 507 + 68 + 7 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 56070441 + ... + 56070819.

It is an arithmetic number, because the mean of its divisors is an integer number (119180160).

Almost surely, 221250768770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21250768770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137651200).

21250768770 is an abundant number, since it is smaller than the sum of its proper divisors (55024533630).

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

21250768770 is a wasteful number, since it uses less digits than its factorization.

21250768770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 21250768770 in words is "twenty-one billion, two hundred fifty million, seven hundred sixty-eight thousand, seven hundred seventy".