Search a number
-
+
33368354136 = 23331341289837
BaseRepresentation
bin11111000100111010…
…001010110101011000
310012010111110000121000
4133010322022311120
51021314244313021
623155035345000
72260620221205
oct370472126530
9105114400530
1033368354136
1113173625387
126572bb2160
1331ba18aa60
141887938cac
15d046ceb26
hex7c4e8ad58

33368354136 has 128 divisors (see below), whose sum is σ = 102254846400. Its totient is φ = 10016732160.

The previous prime is 33368354113. The next prime is 33368354143. The reversal of 33368354136 is 63145386333.

It is a super-2 number, since 2×333683541362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33368354091 and 33368354100.

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, 29791 + ... + 260046.

Almost surely, 233368354136 is an apocalyptic number.

33368354136 is a gapful number since it is divisible by the number (36) 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 33368354136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51127423200).

33368354136 is an abundant number, since it is smaller than the sum of its proper divisors (68886492264).

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

33368354136 is a wasteful number, since it uses less digits than its factorization.

33368354136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289906 (or 289896 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 33368354136 in words is "thirty-three billion, three hundred sixty-eight million, three hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 82 104 108 117 123 156 164 216 234 246 312 328 351 369 468 492 533 702 738 936 984 1066 1107 1404 1476 1599 2132 2214 2808 2952 3198 4264 4428 4797 6396 8856 9594 12792 14391 19188 28782 38376 57564 115128 289837 579674 869511 1159348 1739022 2318696 2608533 3478044 3767881 5217066 6956088 7535762 7825599 10434132 11303643 11883317 15071524 15651198 20868264 22607286 23766634 30143048 31302396 33910929 35649951 45214572 47533268 62604792 67821858 71299902 90429144 95066536 101732787 106949853 135643716 142599804 154483121 203465574 213899706 271287432 285199608 308966242 320849559 406931148 427799412 463449363 617932484 641699118 813862296 855598824 926898726 1235864968 1283398236 1390348089 1853797452 2566796472 2780696178 3707594904 4171044267 5561392356 8342088534 11122784712 16684177068 33368354136