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13675283232 = 2531317336323
BaseRepresentation
bin11001011110001110…
…00100001100100000
31022022001110100220120
430233013010030200
5211001333030412
610140552440240
7662612663262
oct145707041440
938261410816
1013675283232
115888382776
1227979a9080
13139c268a90
1493a30bb32
15550890b8c
hex32f1c4320

13675283232 has 96 divisors (see below), whose sum is σ = 38687398848. Its totient is φ = 4204686336.

The previous prime is 13675283207. The next prime is 13675283243. The reversal of 13675283232 is 23238257631.

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

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, 2159623 + ... + 2165945.

It is an arithmetic number, because the mean of its divisors is an integer number (402993738).

Almost surely, 213675283232 is an apocalyptic number.

13675283232 is a gapful number since it is divisible by the number (12) 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 13675283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343699424).

13675283232 is an abundant number, since it is smaller than the sum of its proper divisors (25012115616).

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

13675283232 is a wasteful number, since it uses less digits than its factorization.

13675283232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8074 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 13675283232 in words is "thirteen billion, six hundred seventy-five million, two hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1733 3466 5199 6323 6932 10398 12646 13864 18969 20796 22529 25292 27728 37938 41592 45058 50584 55456 67587 75876 82199 83184 90116 101168 135174 151752 164398 166368 180232 202336 246597 270348 303504 328796 360464 493194 540696 607008 657592 720928 986388 1081392 1315184 1972776 2162784 2630368 3945552 7891104 10957759 21915518 32873277 43831036 65746554 87662072 131493108 142450867 175324144 262986216 284901734 350648288 427352601 525972432 569803468 854705202 1051944864 1139606936 1709410404 2279213872 3418820808 4558427744 6837641616 13675283232