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211046204064 = 25317193670039
BaseRepresentation
bin1100010010001101010…
…1011000001010100000
3202011202011122222210110
43010203111120022200
511424210312012224
6240541524331320
721150631064403
oct3044325301240
9664664588713
10211046204064
1181560097873
1234a9ab43b40
1316b949a31b7
14a30117bd3a
1557530dd929
hex31235582a0

211046204064 has 96 divisors (see below), whose sum is σ = 589624479360. Its totient is φ = 65867415552.

The previous prime is 211046204059. The next prime is 211046204087. The reversal of 211046204064 is 460402640112.

It is a happy number.

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

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, 20044 + ... + 649995.

It is an arithmetic number, because the mean of its divisors is an integer number (6141921660).

Almost surely, 2211046204064 is an apocalyptic number.

211046204064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211046204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294812239680).

211046204064 is an abundant number, since it is smaller than the sum of its proper divisors (378578275296).

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

211046204064 is a wasteful number, since it uses less digits than its factorization.

211046204064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670262 (or 670254 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 211046204064 its reverse (460402640112), we get a palindrome (671448844176).

The spelling of 211046204064 in words is "two hundred eleven billion, forty-six million, two hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 193 204 272 386 408 544 579 772 816 1158 1544 1632 2316 3088 3281 4632 6176 6562 9264 9843 13124 18528 19686 26248 39372 52496 78744 104992 157488 314976 670039 1340078 2010117 2680156 4020234 5360312 8040468 10720624 11390663 16080936 21441248 22781326 32161872 34171989 45562652 64323744 68343978 91125304 129317527 136687956 182250608 258635054 273375912 364501216 387952581 517270108 546751824 775905162 1034540216 1093503648 1551810324 2069080432 2198397959 3103620648 4138160864 4396795918 6207241296 6595193877 8793591836 12414482592 13190387754 17587183672 26380775508 35174367344 52761551016 70348734688 105523102032 211046204064