Search a number
-
+
13681505104 = 2419231956737
BaseRepresentation
bin11001011110111101…
…10011001101010000
31022022111011110201021
430233132303031100
5211004431130404
610141334045224
7663016605661
oct145736631520
938274143637
1013681505104
115890942313
122799aa9814
1313a0636a67
1493b08b368
155511be454
hex32f7b3350

13681505104 has 40 divisors (see below), whose sum is σ = 29116261440. Its totient is φ = 6198939648.

The previous prime is 13681505093. The next prime is 13681505129. The reversal of 13681505104 is 40150518631.

It is a self number, because there is not a number n which added to its sum of digits gives 13681505104.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 971377 + ... + 985360.

It is an arithmetic number, because the mean of its divisors is an integer number (727906536).

Almost surely, 213681505104 is an apocalyptic number.

It is an amenable number.

13681505104 is an abundant number, since it is smaller than the sum of its proper divisors (15434756336).

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

13681505104 is a wasteful number, since it uses less digits than its factorization.

13681505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956787 (or 1956781 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 13681505104 in words is "thirteen billion, six hundred eighty-one million, five hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 1956737 3913474 7826948 15653896 31307792 37178003 45004951 74356006 90009902 148712012 180019804 297424024 360039608 594848048 720079216 855094069 1710188138 3420376276 6840752552 13681505104