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201864555984 = 24372136602059
BaseRepresentation
bin1011110000000000010…
…0001010110111010000
3201022001021202221110110
42330000010022313100
511301404311242414
6232422454001320
720404251262200
oct2740004126720
9638037687413
10201864555984
1178679308763
1233158046240
13160606c2b40
149aad9a0400
1553b6ed0459
hex2f0010add0

201864555984 has 120 divisors (see below), whose sum is σ = 653287041120. Its totient is φ = 53238995712.

The previous prime is 201864555943. The next prime is 201864556013. The reversal of 201864555984 is 489555468102.

201864555984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 3270454 + ... + 3331605.

It is an arithmetic number, because the mean of its divisors is an integer number (5444058676).

Almost surely, 2201864555984 is an apocalyptic number.

201864555984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201864555984 is an abundant number, since it is smaller than the sum of its proper divisors (451422485136).

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

201864555984 is a wasteful number, since it uses less digits than its factorization.

201864555984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6602097 (or 6602084 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 201864555984 in words is "two hundred one billion, eight hundred sixty-four million, five hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 6602059 13204118 19806177 26408236 39612354 46214413 52816472 79224708 85826767 92428826 105632944 138643239 158449416 171653534 184857652 257480301 277286478 316898832 323500891 343307068 369715304 514960602 554572956 600787369 647001782 686614136 739430608 970502673 1029921204 1109145912 1201574738 1294003564 1373228272 1802362107 1941005346 2059842408 2218291824 2403149476 2588007128 3604724214 3882010692 4119684816 4205511583 4806298952 5176014256 7209448428 7764021384 8411023166 9612597904 12616534749 14418896856 15528042768 16822046332 25233069498 28837793712 33644092664 50466138996 67288185328 100932277992 201864555984