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20246636880 = 24345172361131
BaseRepresentation
bin10010110110110010…
…110010100101010000
31221021000121201110000
4102312302302211100
5312431114340010
613145015410000
71314505400601
oct226662624520
957230551400
1020246636880
11864a775a58
123b10683900
131ba8810612
14da0d67da8
157d77387c0
hex4b6cb2950

20246636880 has 800 divisors, whose sum is σ = 79569692928. Its totient is φ = 4744396800.

The previous prime is 20246636849. The next prime is 20246636899. The reversal of 20246636880 is 8863664202.

20246636880 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 6 + 636 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×202466368802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 154554415 + ... + 154554545.

Almost surely, 220246636880 is an apocalyptic number.

20246636880 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 20246636880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39784846464).

20246636880 is an abundant number, since it is smaller than the sum of its proper divisors (59323056048).

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

20246636880 is a wasteful number, since it uses less digits than its factorization.

20246636880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 20246636880 in words is "twenty billion, two hundred forty-six million, six hundred thirty-six thousand, eight hundred eighty".