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20249887680 = 2633511213067
BaseRepresentation
bin10010110110111111…
…001100001111000000
31221021020201212201000
4102312333030033000
5312432432401210
613145213212000
71314545130261
oct226677141700
957236655630
1020249887680
118651596370
123b11791000
131ba93ab179
14da1572968
157d7b7bac0
hex4b6fcc3c0

20249887680 has 224 divisors, whose sum is σ = 77931751680. Its totient is φ = 4909040640.

The previous prime is 20249887649. The next prime is 20249887687. The reversal of 20249887680 is 8678894202.

20249887680 is a `hidden beast` number, since 2 + 0 + 2 + 498 + 8 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20249887687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11494 + ... + 201573.

Almost surely, 220249887680 is an apocalyptic number.

20249887680 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 20249887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38965875840).

20249887680 is an abundant number, since it is smaller than the sum of its proper divisors (57681864000).

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

20249887680 is a wasteful number, since it uses less digits than its factorization.

20249887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213104 (or 213088 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20249887680 in words is "twenty billion, two hundred forty-nine million, eight hundred eighty-seven thousand, six hundred eighty".