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217043248552 = 231359110332069
BaseRepresentation
bin1100101000100011001…
…0010010010110101000
3202202020010011102021021
43022020302102112220
512024001032423202
6243412554022224
721452351113204
oct3121062222650
9682203142237
10217043248552
118405828a089
1236093417974
131760c275930
14a70d81bb04
1559a4840a37
hex3288c925a8

217043248552 has 64 divisors (see below), whose sum is σ = 446106528000. Its totient is φ = 98383597824.

The previous prime is 217043248531. The next prime is 217043248567. The reversal of 217043248552 is 255842340712.

It is a junction number, because it is equal to n+sod(n) for n = 217043248499 and 217043248508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6751974 + ... + 6784042.

It is an arithmetic number, because the mean of its divisors is an integer number (6970414500).

Almost surely, 2217043248552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217043248552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223053264000).

217043248552 is an abundant number, since it is smaller than the sum of its proper divisors (229063279448).

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

217043248552 is a wasteful number, since it uses less digits than its factorization.

217043248552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33250 (or 33246 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 217043248552 in words is "two hundred seventeen billion, forty-three million, two hundred forty-eight thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 767 1103 1534 2206 3068 4412 6136 8824 14339 28678 32069 57356 64138 65077 114712 128276 130154 256552 260308 416897 520616 833794 846001 1667588 1692002 1892071 3335176 3384004 3784142 6768008 7568284 15136568 24596923 35372107 49193846 70744214 98387692 141488428 196775384 282976856 459837391 919674782 1839349564 2086954313 3678699128 4173908626 8347817252 16695634504 27130406069 54260812138 108521624276 217043248552