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13653508704 = 2531167192977
BaseRepresentation
bin11001011011101000…
…00000001001100000
31022020112111002212120
430231310000021200
5210430244234304
610134454024240
7662226623553
oct145564001140
938215432776
1013653508704
1158770601a0
122790648080
1313978b3a44
1493748069a
1554d9de0d9
hex32dd00260

13653508704 has 96 divisors (see below), whose sum is σ = 39682452096. Its totient is φ = 4075653120.

The previous prime is 13653508697. The next prime is 13653508727. The reversal of 13653508704 is 40780535631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25737 + ... + 167240.

It is an arithmetic number, because the mean of its divisors is an integer number (413358876).

Almost surely, 213653508704 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 13653508704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841226048).

13653508704 is an abundant number, since it is smaller than the sum of its proper divisors (26028943392).

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

13653508704 is a wasteful number, since it uses less digits than its factorization.

13653508704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193068 (or 193060 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 13653508704 in words is "thirteen billion, six hundred fifty-three million, five hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 528 536 737 804 1056 1072 1474 1608 2144 2211 2948 3216 4422 5896 6432 8844 11792 17688 23584 35376 70752 192977 385954 578931 771908 1157862 1543816 2122747 2315724 3087632 4245494 4631448 6175264 6368241 8490988 9262896 12736482 12929459 16981976 18525792 25472964 25858918 33963952 38788377 50945928 51717836 67927904 77576754 101891856 103435672 142224049 155153508 203783712 206871344 284448098 310307016 413742688 426672147 568896196 620614032 853344294 1137792392 1241228064 1706688588 2275584784 3413377176 4551169568 6826754352 13653508704