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21321355919360 = 215573461823
BaseRepresentation
bin1001101100100010000111…
…10110001000000000000000
32210111022010221202001211012
410312101003312020000000
510243312114103404420
6113202521245140052
74330263035021000
oct466210366100000
983438127661735
1021321355919360
11688037762a562
12248427ab5a628
13bb879796c543
14539d5dc08000
1526e93dab0dc5
hex136443d88000

21321355919360 has 512 divisors, whose sum is σ = 59876131392000. Its totient is φ = 7285458862080.

The previous prime is 21321355919317. The next prime is 21321355919377. The reversal of 21321355919360 is 6391955312312.

It is a tau number, because it is divible by the number of its divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 21321355919299 and 21321355919308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25906871909 + ... + 25906872731.

It is an arithmetic number, because the mean of its divisors is an integer number (116945569125).

Almost surely, 221321355919360 is an apocalyptic number.

21321355919360 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 21321355919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29938065696000).

21321355919360 is an abundant number, since it is smaller than the sum of its proper divisors (38554775472640).

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

21321355919360 is an frugal number, since it uses more digits than its factorization.

21321355919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 50.

The spelling of 21321355919360 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred fifty-five million, nine hundred nineteen thousand, three hundred sixty".