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20402513280 = 27355177717
BaseRepresentation
bin10011000000000101…
…011010010110000000
31221122212221001200000
4103000011122112000
5313241020411110
613212304400000
71321410334002
oct230005322600
957585831600
1020402513280
11871a761226
123b54916000
131c01bb9186
14db7942372
157e62791c0
hex4c015a580

20402513280 has 384 divisors, whose sum is σ = 77369554080. Its totient is φ = 5119967232.

The previous prime is 20402513273. The next prime is 20402513311. The reversal of 20402513280 is 8231520402.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2639982 + ... + 2647698.

Almost surely, 220402513280 is an apocalyptic number.

20402513280 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 20402513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38684777040).

20402513280 is an abundant number, since it is smaller than the sum of its proper divisors (56967040800).

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

20402513280 is an equidigital number, since it uses as much as digits as its factorization.

20402513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 20402513280 in words is "twenty billion, four hundred two million, five hundred thirteen thousand, two hundred eighty".