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13464354420 = 22325116800179
BaseRepresentation
bin11001000101000100…
…11011111001110100
31021202100120001222100
430202202123321310
5210033333320140
610104015502100
7654442060416
oct144242337164
937670501870
1013464354420
11578a305840
122739227930
13136765622a
1491a2c29b6
1553c0c8530
hex32289be74

13464354420 has 72 divisors (see below), whose sum is σ = 44554779360. Its totient is φ = 3264085440.

The previous prime is 13464354413. The next prime is 13464354437. The reversal of 13464354420 is 2445346431.

13464354420 is a `hidden beast` number, since 1 + 3 + 4 + 643 + 5 + 4 + 4 + 2 + 0 = 666.

13464354420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 3398110 + ... + 3402069.

It is an arithmetic number, because the mean of its divisors is an integer number (618816380).

Almost surely, 213464354420 is an apocalyptic number.

13464354420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13464354420 is an abundant number, since it is smaller than the sum of its proper divisors (31090424940).

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

13464354420 is a wasteful number, since it uses less digits than its factorization.

13464354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800205 (or 6800200 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 13464354420 in words is "thirteen billion, four hundred sixty-four million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6800179 13600358 20400537 27200716 34000895 40801074 61201611 68001790 74801969 81602148 102002685 122403222 136003580 149603938 204005370 224405907 244806444 299207876 306008055 374009845 408010740 448811814 612016110 673217721 748019690 897623628 1122029535 1224032220 1346435442 1496039380 2244059070 2692870884 3366088605 4488118140 6732177210 13464354420