Search a number
-
+
190690521168 = 243711328317747
BaseRepresentation
bin1011000110011000001…
…0100111000001010000
3200020012112212011100010
42301212002213001100
511111013233134133
6223334011354520
716530326454210
oct2614602470120
9606175764303
10190690521168
1173964911a44
1230b59a52a40
1314c9c702814
14932d94a240
154e61015263
hex2c660a7050

190690521168 has 160 divisors (see below), whose sum is σ = 570012374016. Its totient is φ = 53807007744.

The previous prime is 190690521107. The next prime is 190690521179. The reversal of 190690521168 is 861125096091.

190690521168 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10736071 + ... + 10753817.

Almost surely, 2190690521168 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 190690521168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285006187008).

190690521168 is an abundant number, since it is smaller than the sum of its proper divisors (379321852848).

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

190690521168 is a wasteful number, since it uses less digits than its factorization.

190690521168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18161 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 190690521168 in words is "one hundred ninety billion, six hundred ninety million, five hundred twenty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 283 336 339 452 566 678 791 849 904 1132 1356 1582 1698 1808 1981 2264 2373 2712 3164 3396 3962 4528 4746 5424 5943 6328 6792 7924 9492 11886 12656 13584 15848 17747 18984 23772 31696 31979 35494 37968 47544 53241 63958 70988 95088 95937 106482 124229 127916 141976 191874 212964 223853 248458 255832 283952 372687 383748 425928 447706 496916 511664 671559 745374 767496 851856 895412 993832 1343118 1490748 1534992 1790824 1987664 2005411 2686236 2981496 3581648 4010822 5022401 5372472 5962992 6016233 8021644 10044802 10744944 12032466 14037877 15067203 16043288 20089604 24064932 28075754 30134406 32086576 35156807 40179208 42113631 48129864 56151508 60268812 70313614 80358416 84227262 96259728 105470421 112303016 120537624 140627228 168454524 210940842 224606032 241075248 281254456 336909048 421881684 562508912 567531313 673818096 843763368 1135062626 1687526736 1702593939 2270125252 3405187878 3972719191 4540250504 6810375756 7945438382 9080501008 11918157573 13620751512 15890876764 23836315146 27241503024 31781753528 47672630292 63563507056 95345260584 190690521168