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5972094919872 = 263523531013119
BaseRepresentation
bin101011011100111110010…
…0110001010010011000000
3210010221000120012121100000
41112321330212022103000
51240321322244413442
620411313104200000
71154320036150344
oct126717446122300
923127016177300
105972094919872
1119a2829987764
12805522609000
13344220cc7473
1416909daab624
15a5534220d4c
hex56e7c98a4c0

5972094919872 has 672 divisors, whose sum is σ = 19066231941120. Its totient is φ = 1849128652800.

The previous prime is 5972094919871. The next prime is 5972094919927. The reversal of 5972094919872 is 2789194902795.

It is a happy number.

5972094919872 is a `hidden beast` number, since 59 + 7 + 2 + 0 + 9 + 491 + 9 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5972094919872.

It is not an unprimeable number, because it can be changed into a prime (5972094919871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1914745129 + ... + 1914748247.

It is an arithmetic number, because the mean of its divisors is an integer number (28372368960).

Almost surely, 25972094919872 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 5972094919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533115970560).

5972094919872 is an abundant number, since it is smaller than the sum of its proper divisors (13094137021248).

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

5972094919872 is a wasteful number, since it uses less digits than its factorization.

5972094919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 5972094919872 in words is "five trillion, nine hundred seventy-two billion, ninety-four million, nine hundred nineteen thousand, eight hundred seventy-two".