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21418052697360 = 243251119473028331
BaseRepresentation
bin1001101111010110001110…
…11011000011110100010000
32210211112201220210100100100
410313223013123003310100
510301403132442303420
6113315152332452400
74340255212044444
oct467530733036420
983745656710310
1021418052697360
116908388420020
12249ab6661a100
13bc493800c247
145408d4290824
152721ecd0d190
hex137ac76c3d10

21418052697360 has 480 divisors, whose sum is σ = 84355278059520. Its totient is φ = 4814317900800.

The previous prime is 21418052697359. The next prime is 21418052697383. The reversal of 21418052697360 is 6379625081412.

It is a happy number.

21418052697360 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 80 + 526 + 9 + 7 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21418052697297 and 21418052697306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5558395 + ... + 8586725.

It is an arithmetic number, because the mean of its divisors is an integer number (175740162624).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21418052697360 = 42836105394720, but 3⋅21418052697360 = 64254158092080 is not.

Almost surely, 221418052697360 is an apocalyptic number.

21418052697360 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 21418052697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42177639029760).

21418052697360 is an abundant number, since it is smaller than the sum of its proper divisors (62937225362160).

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

21418052697360 is a wasteful number, since it uses less digits than its factorization.

21418052697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028427 (or 3028418 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21418052697360 in words is "twenty-one trillion, four hundred eighteen billion, fifty-two million, six hundred ninety-seven thousand, three hundred sixty".