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20253511680 = 212351719391
BaseRepresentation
bin10010110111001101…
…000001000000000000
31221021111112222220020
4102313031001000000
5312434344333210
613145423013440
71314621003003
oct226715010000
957244488806
1020253511680
118653641106
123b12a3a280
131baa07984c
14da1c3753a
157d8145770
hex4b7341000

20253511680 has 208 divisors, whose sum is σ = 68618824704. Its totient is φ = 5082972160.

The previous prime is 20253511661. The next prime is 20253511687. The reversal of 20253511680 is 8611535202.

It is not an unprimeable number, because it can be changed into a prime (20253511687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1034785 + ... + 1054175.

Almost surely, 220253511680 is an apocalyptic number.

20253511680 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 20253511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34309412352).

20253511680 is an abundant number, since it is smaller than the sum of its proper divisors (48365313024).

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

20253511680 is a wasteful number, since it uses less digits than its factorization.

20253511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19440 (or 19418 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 20253511680 in words is "twenty billion, two hundred fifty-three million, five hundred eleven thousand, six hundred eighty".