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5434708711680 = 283451133071511
BaseRepresentation
bin100111100010101110111…
…1000011101100100000000
3201020112221012020201220000
41033011131320131210000
51203020240412233210
615320400512520000
71100434101562323
oct117053570354400
921215835221800
105434708711680
111805935426746
12739348b50000
1330564c488811
1414b0814ac7ba
159658130cac0
hex4f15de1d900

5434708711680 has 720 divisors, whose sum is σ = 19695403373184. Its totient is φ = 1430803906560.

The previous prime is 5434708711667. The next prime is 5434708711681. The reversal of 5434708711680 is 861178074345.

5434708711680 is a `hidden beast` number, since 5 + 4 + 3 + 470 + 8 + 7 + 1 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (5434708711681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3596762125 + ... + 3596763635.

Almost surely, 25434708711680 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 5434708711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847701686592).

5434708711680 is an abundant number, since it is smaller than the sum of its proper divisors (14260694661504).

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

5434708711680 is a wasteful number, since it uses less digits than its factorization.

5434708711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 5434708711680 in words is "five trillion, four hundred thirty-four billion, seven hundred eight million, seven hundred eleven thousand, six hundred eighty".