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13658929008 = 2432926093761
BaseRepresentation
bin11001011100010001…
…01011011101110000
31022020220200111010120
430232020223131300
5210433141212013
610135210130240
7662323660314
oct145610533560
938226614116
1013658929008
11587a12258a
122792420980
131398a60c1a
14938091b44
1554e210123
hex32e22b770

13658929008 has 80 divisors (see below), whose sum is σ = 36526010400. Its totient is φ = 4393123840.

The previous prime is 13658928889. The next prime is 13658929027. The reversal of 13658929008 is 80092985631.

It is a happy number.

13658929008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3629848 + ... + 3633608.

It is an arithmetic number, because the mean of its divisors is an integer number (456575130).

Almost surely, 213658929008 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 13658929008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18263005200).

13658929008 is an abundant number, since it is smaller than the sum of its proper divisors (22867081392).

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

13658929008 is a wasteful number, since it uses less digits than its factorization.

13658929008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 13658929008 in words is "thirteen billion, six hundred fifty-eight million, nine hundred twenty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2609 3761 5218 7522 7827 10436 11283 15044 15654 20872 22566 30088 31308 41744 45132 60176 62616 75661 90264 109069 125232 151322 180528 218138 226983 302644 327207 436276 453966 605288 654414 872552 907932 1210576 1308828 1745104 1815864 2617656 3631728 5235312 9812449 19624898 29437347 39249796 58874694 78499592 117749388 156999184 235498776 284561021 470997552 569122042 853683063 1138244084 1707366126 2276488168 3414732252 4552976336 6829464504 13658929008