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214378472880 = 2433511131936529
BaseRepresentation
bin1100011110100111110…
…0111110010110110000
3202111100101220210021000
43013221330332112300
512003021342113010
6242252322402000
721326332645005
oct3075174762660
9674311823230
10214378472880
1182a10071740
123566ab00300
13172a61730b0
14a5399578ac
15589a9177c0
hex31e9f3e5b0

214378472880 has 640 divisors, whose sum is σ = 913191552000. Its totient is φ = 45446676480.

The previous prime is 214378472863. The next prime is 214378472909. The reversal of 214378472880 is 88274873412.

214378472880 is a `hidden beast` number, since 21 + 4 + 3 + 78 + 472 + 8 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5850456 + ... + 5886984.

It is an arithmetic number, because the mean of its divisors is an integer number (1426861800).

Almost surely, 2214378472880 is an apocalyptic number.

214378472880 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 214378472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456595776000).

214378472880 is an abundant number, since it is smaller than the sum of its proper divisors (698813079120).

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

214378472880 is a wasteful number, since it uses less digits than its factorization.

214378472880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36594 (or 36582 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 214378472880 in words is "two hundred fourteen billion, three hundred seventy-eight million, four hundred seventy-two thousand, eight hundred eighty".