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21452740320 = 25351123241733
BaseRepresentation
bin10011111110101011…
…101101011011100000
32001101002010010022210
4103332223231123200
5322413400142240
613504422402120
71356422166264
oct237653553340
961332103283
1021452740320
119109570360
1241a8590340
13203b660bab
1410772060a4
1585857c780
hex4feaed6e0

21452740320 has 384 divisors, whose sum is σ = 77349178368. Its totient is φ = 4947148800.

The previous prime is 21452740319. The next prime is 21452740321. The reversal of 21452740320 is 2304725412.

It is an interprime number because it is at equal distance from previous prime (21452740319) and next prime (21452740321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21452740321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29266674 + ... + 29267406.

It is an arithmetic number, because the mean of its divisors is an integer number (201430152).

Almost surely, 221452740320 is an apocalyptic number.

21452740320 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 21452740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38674589184).

21452740320 is an abundant number, since it is smaller than the sum of its proper divisors (55896438048).

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

21452740320 is a wasteful number, since it uses less digits than its factorization.

21452740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 21452740320 in words is "twenty-one billion, four hundred fifty-two million, seven hundred forty thousand, three hundred twenty".