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20821490976 = 253111310115017
BaseRepresentation
bin10011011001000011…
…101011110100100000
31222202002022100000110
4103121003223310200
5320120300202401
613322032451320
71334655516216
oct233103536440
958662270013
1020821490976
118915209390
1240510a9b40
131c6a943780
141017446cb6
1581ce3a9d6
hex4d90ebd20

20821490976 has 192 divisors, whose sum is σ = 64851808896. Its totient is φ = 5766144000.

The previous prime is 20821490953. The next prime is 20821491011. The reversal of 20821490976 is 67909412802.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1379020 + ... + 1394036.

It is an arithmetic number, because the mean of its divisors is an integer number (337769838).

Almost surely, 220821490976 is an apocalyptic number.

20821490976 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 20821490976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32425904448).

20821490976 is an abundant number, since it is smaller than the sum of its proper divisors (44030317920).

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

20821490976 is a wasteful number, since it uses less digits than its factorization.

20821490976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15155 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 20821490976 in words is "twenty billion, eight hundred twenty-one million, four hundred ninety thousand, nine hundred seventy-six".