Search a number
-
+
21364838277120 = 213345131929231
BaseRepresentation
bin1001101101110011000111…
…00110001010000000000000
32210122110101022110201010000
410312321203212022000000
510300020142044331440
6113234512103040000
74333362415662222
oct466714346120000
983573338421100
1021364838277120
116897860255518
122490795140000
13bbc907322210
1453c0c6aa0412
15270b3616c730
hex136e6398a000

21364838277120 has 3360 divisors, whose sum is σ = 92823131681280. Its totient is φ = 4655268495360.

The previous prime is 21364838277061. The next prime is 21364838277179. The reversal of 21364838277120 is 2177283846312.

It is a happy number.

21364838277120 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 483 + 82 + 77 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21364838277061) and next prime (21364838277179).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 689188331505 + ... + 689188331535.

It is an arithmetic number, because the mean of its divisors is an integer number (27625932048).

Almost surely, 221364838277120 is an apocalyptic number.

21364838277120 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 21364838277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46411565840640).

21364838277120 is an abundant number, since it is smaller than the sum of its proper divisors (71458293404160).

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

21364838277120 is a wasteful number, since it uses less digits than its factorization.

21364838277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 21364838277120 in words is "twenty-one trillion, three hundred sixty-four billion, eight hundred thirty-eight million, two hundred seventy-seven thousand, one hundred twenty".