Search a number
-
+
21133700206614 = 236151402123873
BaseRepresentation
bin1001100111000100100101…
…01100011001000000010110
32202211100202220102011000000
410303202102230121000112
510232223304223102424
6112540404324032130
74310600535542442
oct463422254310026
982740686364000
1021133700206614
11680882a8a3056
122453a29532646
13ba3b8cc1aa68
14530c3b365822
15269b092183c9
hex133892b19016

21133700206614 has 112 divisors (see below), whose sum is σ = 47857748205024. Its totient is φ = 6995880576000.

The previous prime is 21133700206547. The next prime is 21133700206639. The reversal of 21133700206614 is 41660200733112.

21133700206614 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 37 + 0 + 0 + 2 + 0 + 6 + 614 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 885243382 + ... + 885267254.

Almost surely, 221133700206614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133700206614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23928874102512).

21133700206614 is an abundant number, since it is smaller than the sum of its proper divisors (26724047998410).

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

21133700206614 is a wasteful number, since it uses less digits than its factorization.

21133700206614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28065 (or 28050 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 21133700206614 its reverse (41660200733112), we get a palindrome (62793900939726).

The spelling of 21133700206614 in words is "twenty-one trillion, one hundred thirty-three billion, seven hundred million, two hundred six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 729 906 1359 1458 2718 4021 4077 8042 8154 12063 12231 23873 24126 24462 36189 36693 47746 71619 72378 73386 108567 110079 143238 214857 217134 220158 325701 429714 607171 644571 651402 977103 1214342 1289142 1821513 1933713 1954206 2931309 3604823 3643026 3867426 5464539 5801139 5862618 7209646 10814469 10929078 11602278 16393617 17403417 21628938 32443407 32787234 34806834 49180851 64886814 95993333 97330221 98361702 147542553 191986666 194660442 287979999 291990663 295085106 442627659 575959998 583981326 863939997 875971989 885255318 1727879994 1751943978 2591819991 2627915967 5183639982 5255831934 7775459973 14494993283 15550919946 23326379919 28989986566 43484979849 46652759838 69979139757 86969959698 130454939547 139958279514 260909879094 391364818641 782729637282 1174094455923 2348188911846 3522283367769 7044566735538 10566850103307 21133700206614