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13434161202 = 2357112912379
BaseRepresentation
bin11001000001011110…
…10000100000110010
31021200020202002200000
430200233100200302
5210003121124302
610101020410430
7653624325510
oct144057204062
937606662600
1013434161202
115774263170
12272b0a6a16
131361314317
149162a34b0
1553961231c
hex320bd0832

13434161202 has 192 divisors, whose sum is σ = 38934604800. Its totient is φ = 3368796480.

The previous prime is 13434161189. The next prime is 13434161207. The reversal of 13434161202 is 20216143431.

It is a happy number.

13434161202 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 41 + 612 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13434161207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079049 + ... + 1091427.

It is an arithmetic number, because the mean of its divisors is an integer number (202784400).

Almost surely, 213434161202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434161202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19467302400).

13434161202 is an abundant number, since it is smaller than the sum of its proper divisors (25500443598).

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

13434161202 is a wasteful number, since it uses less digits than its factorization.

13434161202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13434161202 in words is "thirteen billion, four hundred thirty-four million, one hundred sixty-one thousand, two hundred two".