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212014980672 = 26311197509573
BaseRepresentation
bin1100010101110100010…
…0111101111001000000
3202021020200120221110120
43011131010331321000
511433201313340142
6241222012500240
721213633413115
oct3053504757100
9667220527416
10212014980672
1181a07a24aa0
123510b47a680
1316cba5ca5b1
14a393abc90c
1557ad1a37ec
hex315d13de40

212014980672 has 112 divisors (see below), whose sum is σ = 615059894592. Its totient is φ = 63920711680.

The previous prime is 212014980641. The next prime is 212014980679. The reversal of 212014980672 is 276089410212.

It is not an unprimeable number, because it can be changed into a prime (212014980679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161278 + ... + 670850.

Almost surely, 2212014980672 is an apocalyptic number.

212014980672 is a gapful number since it is divisible by the number (22) 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 212014980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307529947296).

212014980672 is an abundant number, since it is smaller than the sum of its proper divisors (403044913920).

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

212014980672 is a wasteful number, since it uses less digits than its factorization.

212014980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509796 (or 509786 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 212014980672 in words is "two hundred twelve billion, fourteen million, nine hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 197 264 352 394 528 591 704 788 1056 1182 1576 2112 2167 2364 3152 4334 4728 6304 6501 8668 9456 12608 13002 17336 18912 26004 34672 37824 52008 69344 104016 138688 208032 416064 509573 1019146 1528719 2038292 3057438 4076584 5605303 6114876 8153168 11210606 12229752 16306336 16815909 22421212 24459504 32612672 33631818 44842424 48919008 67263636 89684848 97838016 100385881 134527272 179369696 200771762 269054544 301157643 358739392 401543524 538109088 602315286 803087048 1076218176 1104244691 1204630572 1606174096 2208489382 2409261144 3212348192 3312734073 4416978764 4818522288 6424696384 6625468146 8833957528 9637044576 13250936292 17667915056 19274089152 26501872584 35335830112 53003745168 70671660224 106007490336 212014980672