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213129549312 = 2932331194609
BaseRepresentation
bin1100011001111110000…
…0101101011000000000
3202101010100211220012120
43012133200231120000
511442442131034222
6241524345524240
721253356164301
oct3063740553000
9671110756176
10213129549312
118242a08a9a9
12353807a3680
13171374ac474
14a45bb307a8
155825e6615c
hex319f82d600

213129549312 has 160 divisors (see below), whose sum is σ = 611592284160. Its totient is φ = 65761935360.

The previous prime is 213129549251. The next prime is 213129549323. The reversal of 213129549312 is 213945921312.

It is a happy number.

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, 997864 + ... + 1192472.

It is an arithmetic number, because the mean of its divisors is an integer number (3822451776).

Almost surely, 2213129549312 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 213129549312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305796142080).

213129549312 is an abundant number, since it is smaller than the sum of its proper divisors (398462734848).

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

213129549312 is a wasteful number, since it uses less digits than its factorization.

213129549312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194684 (or 194668 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The spelling of 213129549312 in words is "two hundred thirteen billion, one hundred twenty-nine million, five hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 256 276 368 372 384 496 512 552 713 736 744 768 992 1104 1426 1472 1488 1536 1984 2139 2208 2852 2944 2976 3968 4278 4416 5704 5888 5952 7936 8556 8832 11408 11776 11904 15872 17112 17664 22816 23808 34224 35328 45632 47616 68448 91264 136896 182528 194609 273792 365056 389218 547584 583827 778436 1095168 1167654 1556872 2335308 3113744 4476007 4670616 6032879 6227488 8952014 9341232 12065758 12454976 13428021 17904028 18098637 18682464 24131516 24909952 26856042 35808056 36197274 37364928 48263032 49819904 53712084 71616112 72394548 74729856 96526064 99639808 107424168 138756217 143232224 144789096 149459712 193052128 214848336 277512434 286464448 289578192 298919424 386104256 416268651 429696672 555024868 572928896 579156384 772208512 832537302 859393344 1110049736 1145857792 1158312768 1544417024 1665074604 1718786688 2220099472 2291715584 2316625536 3088834048 3330149208 3437573376 4440198944 4633251072 6660298416 6875146752 8880397888 9266502144 13320596832 17760795776 26641193664 35521591552 53282387328 71043183104 106564774656 213129549312