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13678637742 = 23271113175337
BaseRepresentation
bin11001011110100111…
…10111001010101110
31022022021202210102200
430233103313022232
5211003212401432
610141152402330
7662653334220
oct145723671256
938267683380
1013678637742
11588a263aa0
122798b463a6
13139cb718b3
1493a942410
15550d04a7c
hex32f4f72ae

13678637742 has 96 divisors (see below), whose sum is σ = 37232642304. Its totient is φ = 3525724800.

The previous prime is 13678637729. The next prime is 13678637759. The reversal of 13678637742 is 24773687631.

It is a congruent number.

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, 143898 + ... + 219234.

It is an arithmetic number, because the mean of its divisors is an integer number (387840024).

Almost surely, 213678637742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13678637742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616321152).

13678637742 is an abundant number, since it is smaller than the sum of its proper divisors (23554004562).

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

13678637742 is a wasteful number, since it uses less digits than its factorization.

13678637742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75494 (or 75491 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 13678637742 in words is "thirteen billion, six hundred seventy-eight million, six hundred thirty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 131 154 198 231 262 393 462 693 786 917 1179 1386 1441 1834 2358 2751 2882 4323 5502 8253 8646 10087 12969 16506 20174 25938 30261 60522 75337 90783 150674 181566 226011 452022 527359 678033 828707 1054718 1356066 1582077 1657414 2486121 3164154 4746231 4972242 5800949 7458363 9492462 9869147 11601898 14916726 17402847 19738294 29607441 34805694 52208541 59214882 69084029 88822323 104417082 108560617 138168058 177644646 207252087 217121234 325681851 414504174 621756261 651363702 759924319 977045553 1243512522 1519848638 1954091106 2279772957 4559545914 6839318871 13678637742