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5430266136000 = 263353103324337
BaseRepresentation
bin100111100000101010100…
…0101011000010111000000
3201020010110120202111202000
41033001111011120113000
51202432141112323000
615314344013024000
71100216025400536
oct117012505302700
921203416674660
105430266136000
111803a657378a2
12738509185000
133050c1c69804
1414ab7d470156
15963c12b4000
hex4f0551585c0

5430266136000 has 448 divisors, whose sum is σ = 19943149100160. Its totient is φ = 1446609715200.

The previous prime is 5430266135989. The next prime is 5430266136007. The reversal of 5430266136000 is 6316620345.

5430266136000 is a `hidden beast` number, since 5 + 4 + 30 + 2 + 6 + 6 + 13 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430266136007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 223115832 + ... + 223140168.

Almost surely, 25430266136000 is an apocalyptic number.

5430266136000 is a gapful number since it is divisible by the number (50) 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 5430266136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971574550080).

5430266136000 is an abundant number, since it is smaller than the sum of its proper divisors (14512882964160).

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

5430266136000 is a wasteful number, since it uses less digits than its factorization.

5430266136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25406 (or 25380 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 5430266136000 in words is "five trillion, four hundred thirty billion, two hundred sixty-six million, one hundred thirty-six thousand".