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13126848840 = 23325729179623
BaseRepresentation
bin11000011100110101…
…11101000101001000
31020212211111000100200
430032122331011020
5203340433130330
610010321532200
7643203242220
oct141632750510
936784430320
1013126848840
115626844906
1226641a4060
1313127560a1
148c7549080
1551c65ba60
hex30e6bd148

13126848840 has 192 divisors, whose sum is σ = 50438419200. Its totient is φ = 2896943616.

The previous prime is 13126848827. The next prime is 13126848841. The reversal of 13126848840 is 4884862131.

13126848840 is a `hidden beast` number, since 1 + 3 + 126 + 8 + 488 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13126848841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16732 + ... + 162891.

It is an arithmetic number, because the mean of its divisors is an integer number (262700100).

Almost surely, 213126848840 is an apocalyptic number.

13126848840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13126848840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25219209600).

13126848840 is an abundant number, since it is smaller than the sum of its proper divisors (37311570360).

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

13126848840 is a wasteful number, since it uses less digits than its factorization.

13126848840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179676 (or 179669 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13126848840 in words is "thirteen billion, one hundred twenty-six million, eight hundred forty-eight thousand, eight hundred forty".