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210026987664 = 243133747193549
BaseRepresentation
bin1100001110011010010…
…1011000000010010000
3202002010010211102201220
43003212211120002100
511420113402101124
6240252435125040
721113443640124
oct3034645300220
9662103742656
10210026987664
118108783946a
1234855743780
1316a61798480
14a245a6b584
1556e38b3879
hex30e6958090

210026987664 has 160 divisors (see below), whose sum is σ = 612869107200. Its totient is φ = 61538973696.

The previous prime is 210026987663. The next prime is 210026987683. The reversal of 210026987664 is 466789620012.

It is a super-2 number, since 2×2100269876642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210026987663) 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, 988362 + ... + 1181910.

It is an arithmetic number, because the mean of its divisors is an integer number (3830431920).

Almost surely, 2210026987664 is an apocalyptic number.

210026987664 is a gapful number since it is divisible by the number (24) 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 210026987664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306434553600).

210026987664 is an abundant number, since it is smaller than the sum of its proper divisors (402842119536).

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

210026987664 is a wasteful number, since it uses less digits than its factorization.

210026987664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193657 (or 193651 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 210026987664 in words is "two hundred ten billion, twenty-six million, nine hundred eighty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 47 48 52 74 78 94 104 111 141 148 156 188 208 222 282 296 312 376 444 481 564 592 611 624 752 888 962 1128 1222 1443 1739 1776 1833 1924 2256 2444 2886 3478 3666 3848 4888 5217 5772 6956 7332 7696 9776 10434 11544 13912 14664 20868 22607 23088 27824 29328 41736 45214 67821 83472 90428 135642 180856 193549 271284 361712 387098 542568 580647 774196 1085136 1161294 1548392 2322588 2516137 3096784 4645176 5032274 7161313 7548411 9096803 9290352 10064548 14322626 15096822 18193606 20129096 21483939 27290409 28645252 30193644 36387212 40258192 42967878 54580818 57290504 60387288 72774424 85935756 93097069 109161636 114581008 118258439 120774576 145548848 171871512 186194138 218323272 236516878 279291207 336581711 343743024 354775317 372388276 436646544 473033756 558582414 673163422 709550634 744776552 946067512 1009745133 1117164828 1346326844 1419101268 1489553104 1892135024 2019490266 2234329656 2692653688 2838202536 4038980532 4375562243 4468659312 5385307376 5676405072 8077961064 8751124486 13126686729 16155922128 17502248972 26253373458 35004497944 52506746916 70008995888 105013493832 210026987664