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21342399936 = 26311132333797
BaseRepresentation
bin10011111000000110…
…110010110111000000
32001002101111020202220
4103320012302313000
5322202123244221
613445441411040
71353612256224
oct237006626700
961071436686
1021342399936
119062256a60
124177639a80
132021839920
1410666c2784
1584da340c6
hex4f81b2dc0

21342399936 has 224 divisors, whose sum is σ = 69226956288. Its totient is φ = 5710172160.

The previous prime is 21342399901. The next prime is 21342399973. The reversal of 21342399936 is 63999324312.

It is a happy number.

It is a congruent number.

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, 614590 + ... + 648386.

It is an arithmetic number, because the mean of its divisors is an integer number (309048912).

Almost surely, 221342399936 is an apocalyptic number.

21342399936 is a gapful number since it is divisible by the number (26) 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 21342399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34613478144).

21342399936 is an abundant number, since it is smaller than the sum of its proper divisors (47884556352).

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

21342399936 is a wasteful number, since it uses less digits than its factorization.

21342399936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33859 (or 33849 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 51.

The spelling of 21342399936 in words is "twenty-one billion, three hundred forty-two million, three hundred ninety-nine thousand, nine hundred thirty-six".