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21398586873084 = 2232234316311173301
BaseRepresentation
bin1001101110110001111110…
…01010110101010011111100
32210202200111022102000102200
410313120333022311103330
510301043301214414314
6113302213004351500
74335665634214251
oct467307712652374
983680438360380
1021398586873084
1169000a9480143
122497233545590
13bc2b551c4225
1453d9a8cd9428
1527195de0b709
hex13763f2b54fc

21398586873084 has 288 divisors, whose sum is σ = 58179238301184. Its totient is φ = 6615251596800.

The previous prime is 21398586873047. The next prime is 21398586873119. The reversal of 21398586873084 is 48037868589312.

21398586873084 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 8 + 586 + 8 + 7 + 30 + 8 + 4 = 666.

It is a super-3 number, since 3×213985868730843 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6482454234 + ... + 6482457534.

It is a 1-persistent number, because it is pandigital, but 2⋅21398586873084 = 42797173746168 is not.

Almost surely, 221398586873084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21398586873084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089619150592).

21398586873084 is an abundant number, since it is smaller than the sum of its proper divisors (36780651428100).

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

21398586873084 is a wasteful number, since it uses less digits than its factorization.

21398586873084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 21398586873084 in words is "twenty-one trillion, three hundred ninety-eight billion, five hundred eighty-six million, eight hundred seventy-three thousand, eighty-four".