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13248642924 = 223211192960719
BaseRepresentation
bin11000101011010111…
…00011111101101100
31021012022122210102200
430111223203331230
5204113123033144
610030352221500
7646212415056
oct142553437554
937168583380
1013248642924
115689571580
122698b3a890
131331a5a7aa
148d97b08d6
155281b8c69
hex315ae3f6c

13248642924 has 144 divisors (see below), whose sum is σ = 39783744000. Its totient is φ = 3672224640.

The previous prime is 13248642881. The next prime is 13248642941. The reversal of 13248642924 is 42924684231.

It is a self number, because there is not a number n which added to its sum of digits gives 13248642924.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187837 + ... + 248555.

It is an arithmetic number, because the mean of its divisors is an integer number (276276000).

Almost surely, 213248642924 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 13248642924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891872000).

13248642924 is an abundant number, since it is smaller than the sum of its proper divisors (26535101076).

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

13248642924 is a wasteful number, since it uses less digits than its factorization.

13248642924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60788 (or 60783 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 13248642924 in words is "thirteen billion, two hundred forty-eight million, six hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 29 33 36 38 44 57 58 66 76 87 99 114 116 132 171 174 198 209 228 261 319 342 348 396 418 522 551 627 638 684 836 957 1044 1102 1254 1276 1653 1881 1914 2204 2508 2871 3306 3762 3828 4959 5742 6061 6612 7524 9918 11484 12122 18183 19836 24244 36366 54549 60719 72732 109098 121438 182157 218196 242876 364314 546471 667909 728628 1092942 1153661 1335818 1760851 2003727 2185884 2307322 2671636 3460983 3521702 4007454 4614644 5282553 6011181 6921966 7043404 8014908 10382949 10565106 12022362 12690271 13843932 15847659 19369361 20765898 21130212 24044724 25380542 31695318 33456169 38070813 38738722 41531796 50761084 58108083 63390636 66912338 76141626 77477444 100368507 114212439 116216166 133824676 152283252 174324249 200737014 228424878 232432332 301105521 348648498 368017859 401474028 456849756 602211042 697296996 736035718 1104053577 1204422084 1472071436 2208107154 3312160731 4416214308 6624321462 13248642924