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13437994284 = 2235113131747
BaseRepresentation
bin11001000001111011…
…11000010100101100
31021200111221211200000
430200331320110230
5210010111304114
610101234504300
7654002031621
oct144075702454
937614854600
1013437994284
115776441000
122730435090
131362056c10
149169c0348
15539b1ce09
hex320f7852c

13437994284 has 576 divisors, whose sum is σ = 45121370112. Its totient is φ = 3462497280.

The previous prime is 13437994253. The next prime is 13437994309. The reversal of 13437994284 is 48249973431.

13437994284 is a `hidden beast` number, since 1 + 3 + 437 + 99 + 42 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13437994284.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285914749 + ... + 285914795.

It is an arithmetic number, because the mean of its divisors is an integer number (78335712).

Almost surely, 213437994284 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 13437994284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560685056).

13437994284 is an abundant number, since it is smaller than the sum of its proper divisors (31683375828).

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

13437994284 is a wasteful number, since it uses less digits than its factorization.

13437994284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13437994284 in words is "thirteen billion, four hundred thirty-seven million, nine hundred ninety-four thousand, two hundred eighty-four".