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21406389903360 = 213355711173153
BaseRepresentation
bin1001101111000000100000…
…10001000010000000000000
32210210102122010012000200000
410313200100101002000000
510301210241303401420
6113305543150400000
74336363203660540
oct467402021020000
983712563160600
1021406389903360
1169034430452a0
122498850800000
13bc37c99a13c7
1454010936d320
15271c68e9a690
hex137810442000

21406389903360 has 5376 divisors, whose sum is σ = 106839916904448. Its totient is φ = 3974941900800.

The previous prime is 21406389903359. The next prime is 21406389903373. The reversal of 21406389903360 is 6330998360412.

21406389903360 is a `hidden beast` number, since 2 + 140 + 6 + 3 + 89 + 90 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a junction number, because it is equal to n+sod(n) for n = 21406389903297 and 21406389903306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 403894149094 + ... + 403894149146.

It is an arithmetic number, because the mean of its divisors is an integer number (19873496448).

Almost surely, 221406389903360 is an apocalyptic number.

21406389903360 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 21406389903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53419958452224).

21406389903360 is an abundant number, since it is smaller than the sum of its proper divisors (85433527001088).

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

21406389903360 is a wasteful number, since it uses less digits than its factorization.

21406389903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 21406389903360 in words is "twenty-one trillion, four hundred six billion, three hundred eighty-nine million, nine hundred three thousand, three hundred sixty".