Search a number
-
+
97844155710444 = 2232111359379849973
BaseRepresentation
bin10110001111110100011110…
…001001001111101111101100
3110211102210212102221111100100
4112033310132021033233230
5100311034312330213234
6544032552401431100
726416002251056653
oct2617643611175754
9424383772844310
1097844155710444
11291a3523119a80
12ab82a2993b490
1342798835b4830
141a2397a73619a
15b4a23ead6399
hex58fd1e24fbec

97844155710444 has 288 divisors, whose sum is σ = 296272377273600. Its totient is φ = 26834092024320.

The previous prime is 97844155710347. The next prime is 97844155710467. The reversal of 97844155710444 is 44401755144879.

97844155710444 is a `hidden beast` number, since 9 + 7 + 8 + 4 + 4 + 15 + 571 + 0 + 4 + 44 = 666.

It is a super-2 number, since 2×978441557104442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114689442 + ... + 115539414.

It is an arithmetic number, because the mean of its divisors is an integer number (1028723532200).

Almost surely, 297844155710444 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 97844155710444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148136188636800).

97844155710444 is an abundant number, since it is smaller than the sum of its proper divisors (198428221563156).

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

97844155710444 is a wasteful number, since it uses less digits than its factorization.

97844155710444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850445 (or 850440 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 97844155710444 in words is "ninety-seven trillion, eight hundred forty-four billion, one hundred fifty-five million, seven hundred ten thousand, four hundred forty-four".