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20912947200 = 21433523161
BaseRepresentation
bin10011011110100000…
…100100000000000000
31222222110101210101000
4103132200210000000
5320312203302300
613335101012000
71340146055355
oct233640440000
958873353330
1020912947200
1189618a4842
124077854000
131c83885492
14102565262c
15825ea3c00
hex4de824000

20912947200 has 720 divisors, whose sum is σ = 80612062720. Its totient is φ = 5308416000.

The previous prime is 20912947147. The next prime is 20912947201. The reversal of 20912947200 is 274921902.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (20912947201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342835170 + ... + 342835230.

Almost surely, 220912947200 is an apocalyptic number.

20912947200 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 20912947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40306031360).

20912947200 is an abundant number, since it is smaller than the sum of its proper divisors (59699115520).

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

20912947200 is an equidigital number, since it uses as much as digits as its factorization.

20912947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20912947200 in words is "twenty billion, nine hundred twelve million, nine hundred forty-seven thousand, two hundred".