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13506467220 = 2232575035929
BaseRepresentation
bin11001001010000110…
…00101010110010100
31021212021210121212200
430211003011112110
5210130123422340
610112122244500
7655463035311
oct144503052624
937767717780
1013506467220
115801059804
12274b356730
1313732ac64c
14921b25d08
15540b46330
hex3250c5594

13506467220 has 36 divisors (see below), whose sum is σ = 40969617780. Its totient is φ = 3601724544.

The previous prime is 13506467209. The next prime is 13506467237. The reversal of 13506467220 is 2276460531.

13506467220 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 646 + 7 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8079492996 + 5426974224 = 89886^2 + 73668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37517785 + ... + 37518144.

Almost surely, 213506467220 is an apocalyptic number.

13506467220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13506467220 is an abundant number, since it is smaller than the sum of its proper divisors (27463150560).

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

13506467220 is a wasteful number, since it uses less digits than its factorization.

13506467220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75035944 (or 75035939 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13506467220 in words is "thirteen billion, five hundred six million, four hundred sixty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 75035929 150071858 225107787 300143716 375179645 450215574 675323361 750359290 900431148 1125538935 1350646722 1500718580 2251077870 2701293444 3376616805 4502155740 6753233610 13506467220