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20496312000 = 2632532312377
BaseRepresentation
bin10011000101101011…
…001110011011000000
31221220102102112022200
4103011223032123000
5313434023441000
613225455033200
71323626530443
oct230553163300
957812375280
1020496312000
1187686a762a
123b8020b800
131c1846b188
14dc619b65a
157ee606500
hex4c5ace6c0

20496312000 has 336 divisors, whose sum is σ = 76512676032. Its totient is φ = 5227622400.

The previous prime is 20496311989. The next prime is 20496312013. The reversal of 20496312000 is 21369402.

20496312000 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 631 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649812 + ... + 1662188.

Almost surely, 220496312000 is an apocalyptic number.

20496312000 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 20496312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38256338016).

20496312000 is an abundant number, since it is smaller than the sum of its proper divisors (56016364032).

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

20496312000 is a wasteful number, since it uses less digits than its factorization.

20496312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12410 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 20496312000 in words is "twenty billion, four hundred ninety-six million, three hundred twelve thousand".