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13605914364 = 22371913961331
BaseRepresentation
bin11001010101111100…
…11100011011111100
31022010012221001201020
430222332130123330
5210331103224424
610130033544140
7661111235550
oct145276343374
938105831636
1013605914364
115852202929
122778715050
13138aa8b603
14931011860
1554973c079
hex32af9c6fc

13605914364 has 96 divisors (see below), whose sum is σ = 38467430400. Its totient is φ = 3656249280.

The previous prime is 13605914363. The next prime is 13605914389. The reversal of 13605914364 is 46341950631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605914363) 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, 191179 + ... + 252509.

It is an arithmetic number, because the mean of its divisors is an integer number (400702400).

Almost surely, 213605914364 is an apocalyptic number.

13605914364 is a gapful number since it is divisible by the number (14) 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 13605914364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233715200).

13605914364 is an abundant number, since it is smaller than the sum of its proper divisors (24861516036).

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

13605914364 is a wasteful number, since it uses less digits than its factorization.

13605914364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61503 (or 61501 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13605914364 in words is "thirteen billion, six hundred five million, nine hundred fourteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 139 228 266 278 399 417 532 556 798 834 973 1596 1668 1946 2641 2919 3892 5282 5838 7923 10564 11676 15846 18487 31692 36974 55461 61331 73948 110922 122662 183993 221844 245324 367986 429317 735972 858634 1165289 1287951 1717268 2330578 2575902 3495867 4661156 5151804 6991734 8157023 8525009 13983468 16314046 17050018 24471069 25575027 32628092 34100036 48942138 51150054 59675063 97884276 102300108 119350126 161975171 179025189 238700252 323950342 358050378 485925513 647900684 716100756 971851026 1133826197 1943702052 2267652394 3401478591 4535304788 6802957182 13605914364