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218412231648 = 25313175009801
BaseRepresentation
bin1100101101101001100…
…0100010101111100000
3202212202112010222000220
43023122120202233200
512034302012403043
6244200500043040
721531313223442
oct3133230425740
9685675128026
10218412231648
11846a0013376
12363b5993480
1317799a845c0
14a7dd578492
155a34b0a483
hex32da622be0

218412231648 has 48 divisors (see below), whose sum is σ = 617434581456. Its totient is φ = 67203763200.

The previous prime is 218412231539. The next prime is 218412231683. The reversal of 218412231648 is 846132214812.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2184122316482 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87503653 + ... + 87506148.

It is an arithmetic number, because the mean of its divisors is an integer number (12863220447).

Almost surely, 2218412231648 is an apocalyptic number.

It is an amenable number.

218412231648 is an abundant number, since it is smaller than the sum of its proper divisors (399022349808).

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

218412231648 is a wasteful number, since it uses less digits than its factorization.

218412231648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175009827 (or 175009819 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 218412231648 in words is "two hundred eighteen billion, four hundred twelve million, two hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 175009801 350019602 525029403 700039204 1050058806 1400078408 2100117612 2275127413 2800156816 4200235224 4550254826 5600313632 6825382239 8400470448 9100509652 13650764478 16800940896 18201019304 27301528956 36402038608 54603057912 72804077216 109206115824 218412231648