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213543904992 = 253111711895271
BaseRepresentation
bin1100011011100000110…
…1010110011011100000
3202102012020112100100020
43012320031112123200
511444314214424432
6242033430553440
721266550146325
oct3067015263340
9672166470306
10213543904992
1182621a70510
1235477508880
13171a22a9042
14a49ab90b4c
15584c51322c
hex31b83566e0

213543904992 has 96 divisors (see below), whose sum is σ = 647483445504. Its totient is φ = 60903782400.

The previous prime is 213543904963. The next prime is 213543905051. The reversal of 213543904992 is 299409345312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 5929684 + ... + 5965587.

It is an arithmetic number, because the mean of its divisors is an integer number (6744619224).

Almost surely, 2213543904992 is an apocalyptic number.

213543904992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213543904992 is an abundant number, since it is smaller than the sum of its proper divisors (433939540512).

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

213543904992 is a wasteful number, since it uses less digits than its factorization.

213543904992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11895312 (or 11895304 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 213543904992 in words is "two hundred thirteen billion, five hundred forty-three million, nine hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 11895271 23790542 35685813 47581084 71371626 95162168 130847981 142743252 190324336 202219607 261695962 285486504 380648672 392543943 404439214 523391924 570973008 606658821 785087886 808878428 1046783848 1141946016 1213317642 1570175772 1617756856 2093567696 2224415677 2426635284 3140351544 3235513712 4187135392 4448831354 4853270568 6280703088 6471027424 6673247031 8897662708 9706541136 12561406176 13346494062 17795325416 19413082272 26692988124 35590650832 53385976248 71181301664 106771952496 213543904992