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213351488064 = 263211132590223
BaseRepresentation
bin1100011010110010111…
…1010101101001000000
3202101200211110112221100
43012230233111221000
511443420440104224
6242002354454400
721262022504121
oct3065457255100
9671624415840
10213351488064
1182533397860
1235422b94400
1317171478480
14a47d3c4048
15583a6a5ac9
hex31acbd5a40

213351488064 has 168 divisors, whose sum is σ = 718445250432. Its totient is φ = 59678714880.

The previous prime is 213351488041. The next prime is 213351488093. The reversal of 213351488064 is 460884153312.

213351488064 is a `hidden beast` number, since 21 + 33 + 514 + 8 + 80 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212744 + ... + 1377479.

It is an arithmetic number, because the mean of its divisors is an integer number (4276459824).

Almost surely, 2213351488064 is an apocalyptic number.

213351488064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213351488064 is an abundant number, since it is smaller than the sum of its proper divisors (505093762368).

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

213351488064 is a wasteful number, since it uses less digits than its factorization.

213351488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590265 (or 2590252 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 213351488064 in words is "two hundred thirteen billion, three hundred fifty-one million, four hundred eighty-eight thousand, sixty-four".