Search a number
-
+
13041621216 = 2533131161113
BaseRepresentation
bin11000010010101011…
…10101100011100000
31020122220010000001000
430021111311203200
5203202123334331
65554035112000
7641116644201
oct141125654340
936586100030
1013041621216
115592723058
12263b742600
1312cabb5440
148ba0c15a8
15514e240e6
hex3095758e0

13041621216 has 96 divisors (see below), whose sum is σ = 40964101920. Its totient is φ = 4012803072.

The previous prime is 13041621199. The next prime is 13041621217. The reversal of 13041621216 is 61212614031.

It is a happy number.

13041621216 is a `hidden beast` number, since 1 + 30 + 4 + 1 + 621 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13041621216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041621217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569325 + ... + 591788.

It is an arithmetic number, because the mean of its divisors is an integer number (426709395).

Almost surely, 213041621216 is an apocalyptic number.

13041621216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13041621216 is an abundant number, since it is smaller than the sum of its proper divisors (27922480704).

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

13041621216 is a wasteful number, since it uses less digits than its factorization.

13041621216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161145 (or 1161131 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13041621216 in words is "thirteen billion, forty-one million, six hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1161113 2322226 3483339 4644452 6966678 9288904 10450017 13933356 15094469 18577808 20900034 27866712 30188938 31350051 37155616 41800068 45283407 55733424 60377876 62700102 83600136 90566814 111466848 120755752 125400204 135850221 167200272 181133628 241511504 250800408 271700442 334400544 362267256 407550663 483023008 501600816 543400884 724534512 815101326 1003201632 1086801768 1449069024 1630202652 2173603536 3260405304 4347207072 6520810608 13041621216