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21339662703840 = 2533513979674051
BaseRepresentation
bin1001101101000100001110…
…00000111101110011100000
32210120001101210012002001000
410312202013000331303200
510244112112123010330
6113215150011112000
74331511510100335
oct466420700756340
983501353162030
1021339662703840
1168881112aa708
122487929a42600
13bba4246049b0
1453abb929298c
15270160d68560
hex13688703dce0

21339662703840 has 768 divisors, whose sum is σ = 81367448279040. Its totient is φ = 5192028979200.

The previous prime is 21339662703839. The next prime is 21339662703911. The reversal of 21339662703840 is 4830726693312.

21339662703840 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 9 + 6 + 627 + 0 + 3 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5267749815 + ... + 5267753865.

It is an arithmetic number, because the mean of its divisors is an integer number (105947198280).

Almost surely, 221339662703840 is an apocalyptic number.

21339662703840 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 21339662703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40683724139520).

21339662703840 is an abundant number, since it is smaller than the sum of its proper divisors (60027785575200).

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

21339662703840 is a wasteful number, since it uses less digits than its factorization.

21339662703840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 21339662703840 in words is "twenty-one trillion, three hundred thirty-nine billion, six hundred sixty-two million, seven hundred three thousand, eight hundred forty".