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213194525712 = 2437331740849
BaseRepresentation
bin1100011010001101100…
…0100100110000010000
3202101021220010001001220
43012203120210300100
511443110244310322
6241535030325040
721255105366000
oct3064330446020
9671256101056
10213194525712
118246282a703
123539a4b9780
1317147aac53c
14a466606000
15582b9ed55c
hex31a3624c10

213194525712 has 160 divisors (see below), whose sum is σ = 644318880000. Its totient is φ = 60719081472.

The previous prime is 213194525651. The next prime is 213194525717. The reversal of 213194525712 is 217525491312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (213194525717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5198664 + ... + 5239512.

It is an arithmetic number, because the mean of its divisors is an integer number (4026993000).

Almost surely, 2213194525712 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 213194525712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322159440000).

213194525712 is an abundant number, since it is smaller than the sum of its proper divisors (431124354288).

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

213194525712 is a wasteful number, since it uses less digits than its factorization.

213194525712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41198 (or 41178 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The spelling of 213194525712 in words is "two hundred thirteen billion, one hundred ninety-four million, five hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 317 336 343 392 588 634 686 784 951 1029 1176 1268 1372 1902 2058 2219 2352 2536 2744 3804 4116 4438 5072 5488 6657 7608 8232 8876 13314 15216 15533 16464 17752 26628 31066 35504 40849 46599 53256 62132 81698 93198 106512 108731 122547 124264 163396 186396 217462 245094 248528 285943 326193 326792 372792 434924 490188 571886 652386 653584 745584 857829 869848 980376 1143772 1304772 1715658 1739696 1960752 2001601 2287544 2609544 3431316 4003202 4575088 5219088 6004803 6862632 8006404 12009606 12949133 13725264 14011207 16012808 24019212 25898266 28022414 32025616 38847399 42033621 48038424 51796532 56044828 77694798 84067242 90643931 96076848 103593064 112089656 155389596 168134484 181287862 207186128 224179312 271931793 310779192 336268968 362575724 543863586 621558384 634507517 672537936 725151448 1087727172 1269015034 1450302896 1903522551 2175454344 2538030068 3807045102 4350908688 4441552619 5076060136 7614090204 8883105238 10152120272 13324657857 15228180408 17766210476 26649315714 30456360816 35532420952 53298631428 71064841904 106597262856 213194525712