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5431943145888 = 25327312103163167
BaseRepresentation
bin100111100001011100100…
…0010101010100110100000
3201020021210110100102211100
41033002321002222212200
51202444104421132023
615315222241114400
71100305420631310
oct117027102524640
921207713312740
105431943145888
111804746328186
127388b6928a00
133052cb52695c
1414ac9c08d440
159646d625c43
hex4f0b90aa9a0

5431943145888 has 864 divisors, whose sum is σ = 18642734143488. Its totient is φ = 1469361669120.

The previous prime is 5431943145883. The next prime is 5431943145917. The reversal of 5431943145888 is 8885413491345.

It is a happy number.

5431943145888 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 9 + 43 + 1 + 4 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5431943145883) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32526605581 + ... + 32526605747.

It is an arithmetic number, because the mean of its divisors is an integer number (21577238592).

Almost surely, 25431943145888 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 5431943145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321367071744).

5431943145888 is an abundant number, since it is smaller than the sum of its proper divisors (13210790997600).

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

5431943145888 is a wasteful number, since it uses less digits than its factorization.

5431943145888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 476 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 5431943145888 in words is "five trillion, four hundred thirty-one billion, nine hundred forty-three million, one hundred forty-five thousand, eight hundred eighty-eight".