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20847628080 = 24325431574289
BaseRepresentation
bin10011011010100111…
…011000111100110000
31222210220111020101100
4103122213120330300
5320143443044310
613324405004400
71335423625536
oct233247307460
958726436340
1020847628080
118928a405a4
1240599b3700
131c73195406
14101aacc156
1582039eec0
hex4da9d8f30

20847628080 has 240 divisors, whose sum is σ = 72114625440. Its totient is φ = 5394235392.

The previous prime is 20847628079. The next prime is 20847628093. The reversal of 20847628080 is 8082674802.

It is a happy number.

20847628080 is a `hidden beast` number, since 20 + 8 + 476 + 2 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4858576 + ... + 4862864.

It is an arithmetic number, because the mean of its divisors is an integer number (300477606).

Almost surely, 220847628080 is an apocalyptic number.

20847628080 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 20847628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36057312720).

20847628080 is an abundant number, since it is smaller than the sum of its proper divisors (51266997360).

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

20847628080 is a wasteful number, since it uses less digits than its factorization.

20847628080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20847628080 in words is "twenty billion, eight hundred forty-seven million, six hundred twenty-eight thousand, eighty".