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212346790628 = 227217677113397
BaseRepresentation
bin1100010111000011011…
…0101110001011100100
3202022002210221122011012
43011300312232023210
511434341234300003
6241314544401352
721225102640100
oct3056066561344
9668083848135
10212346790628
11820682557a5
12351a2616258
131704128514b
14a3c5bb2900
1557cc3978d8
hex3170dae2e4

212346790628 has 144 divisors (see below), whose sum is σ = 471114838656. Its totient is φ = 83179514880.

The previous prime is 212346790619. The next prime is 212346790633. The reversal of 212346790628 is 826097643212.

212346790628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15843626 + ... + 15857022.

It is an arithmetic number, because the mean of its divisors is an integer number (3271630824).

Almost surely, 2212346790628 is an apocalyptic number.

212346790628 is a gapful number since it is divisible by the number (28) 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 212346790628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235557419328).

212346790628 is an abundant number, since it is smaller than the sum of its proper divisors (258768048028).

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

212346790628 is a wasteful number, since it uses less digits than its factorization.

212346790628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13570 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 212346790628 in words is "two hundred twelve billion, three hundred forty-six million, seven hundred ninety thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 71 98 119 134 142 196 238 268 284 469 476 497 833 938 994 1139 1207 1666 1876 1988 2278 2414 3283 3332 3479 4556 4757 4828 6566 6958 7973 8449 9514 13132 13397 13916 15946 16898 19028 26794 31892 33299 33796 53588 55811 59143 66598 80869 93779 111622 118286 133196 161738 187558 223244 227749 233093 236572 323476 375116 455498 466186 566083 656453 897599 910996 932372 951187 1132166 1312906 1594243 1795198 1902374 2264332 2625812 3188486 3590396 3804748 3962581 6283193 6376972 6658309 7925162 11159701 12566386 13316618 15259183 15850324 16170179 22319402 25132772 26633236 30518366 32340358 43982351 44638804 46608163 61036732 63729529 64680716 87964702 93216326 106814281 113191253 127459058 175929404 186432652 213628562 226382506 254918116 427257124 446106703 452765012 747699967 792338771 892213406 1083401993 1495399934 1584677542 1784426812 2166803986 2990799868 3122746921 3169355084 4333607972 6245493842 7583813951 12490987684 15167627902 30335255804 53086697657 106173395314 212346790628