Search a number
-
+
21950389296108 = 2232721323122310651
BaseRepresentation
bin1001111110110101110010…
…01010000001101111101100
32212201102210101000110212100
410333122321022001233230
510334113344124433413
6114403511501335100
74423602052345200
oct477327112015754
985642711013770
1021950389296108
116aa312056a799
122566170b67490
13c32bb363c900
1455c593d96b00
15280ea776aa73
hex13f6b9281bec

21950389296108 has 648 divisors, whose sum is σ = 72476379795456. Its totient is φ = 5576721696000.

The previous prime is 21950389296019. The next prime is 21950389296113. The reversal of 21950389296108 is 80169298305912.

21950389296108 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 0 + 3 + 8 + 9 + 2 + 9 + 610 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2060870583 + ... + 2060881233.

Almost surely, 221950389296108 is an apocalyptic number.

21950389296108 is a gapful number since it is divisible by the number (28) 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 21950389296108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238189897728).

21950389296108 is an abundant number, since it is smaller than the sum of its proper divisors (50525990499348).

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

21950389296108 is a wasteful number, since it uses less digits than its factorization.

21950389296108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 21950389296108 in words is "twenty-one trillion, nine hundred fifty billion, three hundred eighty-nine million, two hundred ninety-six thousand, one hundred eight".