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21369247291392 = 211371113109127251
BaseRepresentation
bin1001101101111011010100…
…11001001101100000000000
32210122212202120210211122220
410312331222121031200000
510300103204301311032
6113240521403331040
74333606603663230
oct466755231154000
983585676724586
1021369247291392
116899713001170
122491605820a80
13bc015a8c01c0
1453c3c4483cc0
15270ce328712c
hex136f6a64d800

21369247291392 has 1536 divisors, whose sum is σ = 78111748915200. Its totient is φ = 5016453120000.

The previous prime is 21369247291351. The next prime is 21369247291393. The reversal of 21369247291392 is 29319274296312.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21369247291393) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85136443267 + ... + 85136443517.

It is an arithmetic number, because the mean of its divisors is an integer number (50854003200).

Almost surely, 221369247291392 is an apocalyptic number.

21369247291392 is a gapful number since it is divisible by the number (22) 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 21369247291392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39055874457600).

21369247291392 is an abundant number, since it is smaller than the sum of its proper divisors (56742501623808).

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

21369247291392 is a wasteful number, since it uses less digits than its factorization.

21369247291392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 60.

The spelling of 21369247291392 in words is "twenty-one trillion, three hundred sixty-nine billion, two hundred forty-seven million, two hundred ninety-one thousand, three hundred ninety-two".