Search a number
-
+
72385633268 = 221319313377013
BaseRepresentation
bin100001101101010000…
…1010001101111110100
320220211200100011111022
41003122201101233310
52141221210231033
653130431200312
75141532505454
oct1033241215764
9226750304438
1072385633268
1128775891713
1212041976098
136a97772c80
1437097b5d64
151d39c9a098
hex10da851bf4

72385633268 has 96 divisors (see below), whose sum is σ = 148692311040. Its totient is φ = 30534174720.

The previous prime is 72385633267. The next prime is 72385633289. The reversal of 72385633268 is 86233658327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72385633267) 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, 10318130 + ... + 10325142.

It is an arithmetic number, because the mean of its divisors is an integer number (1548878240).

Almost surely, 272385633268 is an apocalyptic number.

It is an amenable number.

72385633268 is an abundant number, since it is smaller than the sum of its proper divisors (76306677772).

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

72385633268 is a wasteful number, since it uses less digits than its factorization.

72385633268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7415 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 53.

The spelling of 72385633268 in words is "seventy-two billion, three hundred eighty-five million, six hundred thirty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 13 19 26 31 38 52 62 76 124 247 337 403 494 589 674 806 988 1178 1348 1612 2356 4381 6403 7013 7657 8762 10447 12806 14026 15314 17524 20894 25612 28052 30628 41788 83239 91169 133247 135811 166478 182338 198493 217403 266494 271622 332956 364676 396986 434806 532988 543244 793972 869612 1732211 2363381 2580409 2826239 3464422 4130657 4726762 5160818 5652478 6928844 8261314 9453524 10321636 11304956 16522628 30723953 44904239 53698541 61447906 73264811 89808478 107397082 122895812 146529622 179616956 214794164 293059244 583755107 952442543 1167510214 1392031409 1904885086 2335020428 2784062818 3809770172 5568125636 18096408317 36192816634 72385633268