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211096690368 = 2634767334759
BaseRepresentation
bin1100010010011001010…
…1111101111011000000
3202011212200122221222120
43010212111331323000
511424311223042433
6240550530404240
721152113155654
oct3044625757300
9664780587876
10211096690368
118158663a993
1234ab3a30680
1316ba229ba55
14a307b60a64
1557577627b3
hex312657dec0

211096690368 has 112 divisors (see below), whose sum is σ = 571274204160. Its totient is φ = 68764114944.

The previous prime is 211096690297. The next prime is 211096690369. The reversal of 211096690368 is 863096690112.

211096690368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 211096690368.

It is not an unprimeable number, because it can be changed into a prime (211096690369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6055773 + ... + 6090531.

Almost surely, 2211096690368 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 211096690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285637102080).

211096690368 is an abundant number, since it is smaller than the sum of its proper divisors (360177513792).

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

211096690368 is a wasteful number, since it uses less digits than its factorization.

211096690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35494 (or 35484 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 211096690368 in words is "two hundred eleven billion, ninety-six million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 673 752 1128 1346 1504 2019 2256 2692 3008 4038 4512 5384 8076 9024 10768 16152 21536 31631 32304 34759 43072 63262 64608 69518 94893 104277 126524 129216 139036 189786 208554 253048 278072 379572 417108 506096 556144 759144 834216 1012192 1112288 1518288 1633673 1668432 2024384 2224576 3036576 3267346 3336864 4901019 6073152 6534692 6673728 9802038 13069384 19604076 23392807 26138768 39208152 46785614 52277536 70178421 78416304 93571228 104555072 140356842 156832608 187142456 280713684 313665216 374284912 561427368 748569824 1099461929 1122854736 1497139648 2198923858 2245709472 3298385787 4397847716 4491418944 6596771574 8795695432 13193543148 17591390864 26387086296 35182781728 52774172592 70365563456 105548345184 211096690368