Search a number
-
+
13743553704 = 2334319767601
BaseRepresentation
bin11001100110010110…
…11111110010101000
31022110210220212101120
430303023133302220
5211121322204304
610151432015240
7664402164456
oct146313376250
938423825346
1013743553704
115912972351
1227b6831520
1313b04502ca
149453dd9d6
155568790d9
hex3332dfca8

13743553704 has 64 divisors (see below), whose sum is σ = 35336917440. Its totient is φ = 4451865600.

The previous prime is 13743553687. The next prime is 13743553717. The reversal of 13743553704 is 40735534731.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169504 + ... + 237104.

It is an arithmetic number, because the mean of its divisors is an integer number (552139335).

Almost surely, 213743553704 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 13743553704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17668458720).

13743553704 is an abundant number, since it is smaller than the sum of its proper divisors (21593363736).

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

13743553704 is a wasteful number, since it uses less digits than its factorization.

13743553704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67850 (or 67846 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 13743553704 in words is "thirteen billion, seven hundred forty-three million, five hundred fifty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 197 258 344 394 516 591 788 1032 1182 1576 2364 4728 8471 16942 25413 33884 50826 67601 67768 101652 135202 202803 203304 270404 405606 540808 811212 1622424 2906843 5813686 8720529 11627372 13317397 17441058 23254744 26634794 34882116 39952191 53269588 69764232 79904382 106539176 159808764 319617528 572648071 1145296142 1717944213 2290592284 3435888426 4581184568 6871776852 13743553704