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13103664264 = 23321077092399
BaseRepresentation
bin11000011010000101…
…00000110010001000
31020211012212010002200
430031002200302020
5203314014224024
610004133000200
7642502210545
oct141502406210
936735763080
1013103664264
1156147499a9
122658483060
13130a9c92c2
148c4431bcc
1551a5cc2c9
hex30d0a0c88

13103664264 has 96 divisors (see below), whose sum is σ = 35886240000. Its totient is φ = 4319162496.

The previous prime is 13103664253. The next prime is 13103664269. The reversal of 13103664264 is 46246630131.

13103664264 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 6 + 642 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13103664269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5460937 + ... + 5463335.

It is an arithmetic number, because the mean of its divisors is an integer number (373815000).

Almost surely, 213103664264 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 13103664264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943120000).

13103664264 is an abundant number, since it is smaller than the sum of its proper divisors (22782575736).

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

13103664264 is a wasteful number, since it uses less digits than its factorization.

13103664264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13103664264 in words is "thirteen billion, one hundred three million, six hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 709 856 963 1284 1418 1926 2127 2399 2568 2836 3852 4254 4798 5672 6381 7197 7704 8508 9596 12762 14394 17016 19192 21591 25524 28788 43182 51048 57576 75863 86364 151726 172728 227589 256693 303452 455178 513386 606904 682767 770079 910356 1026772 1365534 1540158 1700891 1820712 2053544 2310237 2731068 3080316 3401782 4620474 5102673 5462136 6160632 6803564 9240948 10205346 13607128 15308019 18481896 20410692 30616038 40821384 61232076 122464152 181995337 363990674 545986011 727981348 1091972022 1455962696 1637958033 2183944044 3275916066 4367888088 6551832132 13103664264