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218944190512 = 24192113739151
BaseRepresentation
bin1100101111101000010…
…1110011100000110000
3202221010121010021102001
43023322011303200300
512041344203044022
6244325341503344
721550432625065
oct3137205634060
9687117107361
10218944190512
11849433189a3
1236523b71b54
1317853049168
14a85008cc6c
155a66687b27
hex32fa173830

218944190512 has 80 divisors (see below), whose sum is σ = 449899141120. Its totient is φ = 102930912000.

The previous prime is 218944190473. The next prime is 218944190533. The reversal of 218944190512 is 215091449812.

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, 23921137 + ... + 23930287.

It is an arithmetic number, because the mean of its divisors is an integer number (5623739264).

Almost surely, 2218944190512 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 218944190512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224949570560).

218944190512 is an abundant number, since it is smaller than the sum of its proper divisors (230954950608).

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

218944190512 is a wasteful number, since it uses less digits than its factorization.

218944190512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 218944190512 in words is "two hundred eighteen billion, nine hundred forty-four million, one hundred ninety thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 211 304 373 422 746 844 1492 1688 2984 3376 4009 5968 7087 8018 9151 14174 16036 18302 28348 32072 36604 56696 64144 73208 78703 113392 146416 157406 173869 314812 347738 629624 695476 1259248 1390952 1495357 1930861 2781904 2990714 3413323 3861722 5981428 6826646 7723444 11962856 13653292 15446888 23925712 27306584 30893776 36686359 54613168 64853137 73372718 129706274 146745436 259412548 293490872 518825096 586981744 720211153 1037650192 1440422306 2880844612 5761689224 11523378448 13684011907 27368023814 54736047628 109472095256 218944190512