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6553321920 = 26325192341127
BaseRepresentation
bin1100001101001101…
…11100000111000000
3121220201020020122200
412012212330013000
5101410122300140
63002140233200
7321253213545
oct60646740700
917821206580
106553321920
1128631a7832
12132a83b800
138059002a2
144624c4bcc
152854d5030
hex1869bc1c0

6553321920 has 672 divisors, whose sum is σ = 25562234880. Its totient is φ = 1532805120.

The previous prime is 6553321903. The next prime is 6553321937. The reversal of 6553321920 is 291233556.

It is an interprime number because it is at equal distance from previous prime (6553321903) and next prime (6553321937).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51600897 + ... + 51601023.

It is an arithmetic number, because the mean of its divisors is an integer number (38039040).

Almost surely, 26553321920 is an apocalyptic number.

6553321920 is a gapful number since it is divisible by the number (60) 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 6553321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781117440).

6553321920 is an abundant number, since it is smaller than the sum of its proper divisors (19008912960).

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

6553321920 is a wasteful number, since it uses less digits than its factorization.

6553321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 6553321920 is about 80952.5905700367. The cubic root of 6553321920 is about 1871.3448836296.

The spelling of 6553321920 in words is "six billion, five hundred fifty-three million, three hundred twenty-one thousand, nine hundred twenty".