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13673002672 = 247597612719
BaseRepresentation
bin11001011101111100…
…10111011010110000
31022021220011111120101
430232332113122300
5211000242041142
610140431522144
7662554414360
oct145676273260
938256144511
1013673002672
11588706530a
122797089354
13139b94aa34
14939cb69a0
155505900b7
hex32ef976b0

13673002672 has 80 divisors (see below), whose sum is σ = 30840883200. Its totient is φ = 5750853120.

The previous prime is 13673002669. The next prime is 13673002687. The reversal of 13673002672 is 27620037631.

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, 5027329 + ... + 5030047.

It is an arithmetic number, because the mean of its divisors is an integer number (385511040).

Almost surely, 213673002672 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 13673002672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420441600).

13673002672 is an abundant number, since it is smaller than the sum of its proper divisors (17167880528).

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

13673002672 is a wasteful number, since it uses less digits than its factorization.

13673002672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 13673002672 in words is "thirteen billion, six hundred seventy-three million, two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 761 826 944 1522 1652 2719 3044 3304 5327 5438 6088 6608 10654 10876 12176 19033 21308 21752 38066 42616 43504 44899 76132 85232 89798 152264 160421 179596 304528 314293 320842 359192 628586 641684 718384 1122947 1257172 1283368 2069159 2245894 2514344 2566736 4138318 4491788 5028688 8276636 8983576 14484113 16553272 17967152 28968226 33106544 57936452 115872904 122080381 231745808 244160762 488321524 854562667 976643048 1709125334 1953286096 3418250668 6836501336 13673002672