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21083526059904 = 2736711324251
BaseRepresentation
bin1001100101100111001000…
…00101001101011110000000
32202122120021011220102000000
410302303210011031132000
510230413030132404104
6112501345502000000
74304143300410360
oct462634405153600
982576234812000
1021083526059904
1167995228a6000
122446166276000
13b9c225076459
1452c63b8629a0
1526866e424639
hex132ce414d780

21083526059904 has 896 divisors, whose sum is σ = 79166048060160. Its totient is φ = 5476014720000.

The previous prime is 21083526059887. The next prime is 21083526059927. The reversal of 21083526059904 is 40995062538012.

21083526059904 is a `hidden beast` number, since 2 + 10 + 8 + 35 + 2 + 6 + 0 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×210835260599042 (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 869375779 + ... + 869400029.

Almost surely, 221083526059904 is an apocalyptic number.

21083526059904 is a gapful number since it is divisible by the number (24) 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 21083526059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39583024030080).

21083526059904 is an abundant number, since it is smaller than the sum of its proper divisors (58082522000256).

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

21083526059904 is an frugal number, since it uses more digits than its factorization.

21083526059904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24323 (or 24274 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 21083526059904 in words is "twenty-one trillion, eighty-three billion, five hundred twenty-six million, fifty-nine thousand, nine hundred four".