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21696194520 = 233357211134761
BaseRepresentation
bin10100001101001100…
…011010011111011000
32002000001012212201000
4110031030122133120
5323413211211040
613544520425000
71365436416300
oct241514323730
962001185630
1021696194520
119223a33080
124256018160
132079c21030
14109b69a600
1586eb1c130
hex50d31a7d8

21696194520 has 1536 divisors, whose sum is σ = 102593433600. Its totient is φ = 4006195200.

The previous prime is 21696194519. The next prime is 21696194521. The reversal of 21696194520 is 2549169612.

21696194520 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 619 + 4 + 5 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (21696194519) and next prime (21696194521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21696194521) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 355675290 + ... + 355675350.

It is an arithmetic number, because the mean of its divisors is an integer number (66792600).

Almost surely, 221696194520 is an apocalyptic number.

21696194520 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 21696194520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51296716800).

21696194520 is an abundant number, since it is smaller than the sum of its proper divisors (80897239080).

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

21696194520 is a wasteful number, since it uses less digits than its factorization.

21696194520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 21696194520 in words is "twenty-one billion, six hundred ninety-six million, one hundred ninety-four thousand, five hundred twenty".