Search a number
-
+
97403444151552 = 28347211171926981
BaseRepresentation
bin10110001001011010000001…
…101100000100010100000000
3110202212200022111101122120000
4112021122001230010110000
5100231324223200322202
6543054305143320000
726342111101452300
oct2611320154042400
9422780274348500
1097403444151552
1129043628a14940
12ab11534450000
13424714a668596
141a0a4cd69d600
15b3da48eed91c
hex589681b04500

97403444151552 has 2160 divisors, whose sum is σ = 410808112102080. Its totient is φ = 22557317529600.

The previous prime is 97403444151539. The next prime is 97403444151557. The reversal of 97403444151552 is 25515144430479.

97403444151552 is a `hidden beast` number, since 9 + 7 + 4 + 0 + 3 + 44 + 41 + 5 + 1 + 552 = 666.

97403444151552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97403444151557) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3610061902 + ... + 3610088882.

It is an arithmetic number, because the mean of its divisors is an integer number (190188940788).

Almost surely, 297403444151552 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 97403444151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205404056051040).

97403444151552 is an abundant number, since it is smaller than the sum of its proper divisors (313404667950528).

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

97403444151552 is a wasteful number, since it uses less digits than its factorization.

97403444151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27070 (or 27040 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 97403444151552 in words is "ninety-seven trillion, four hundred three billion, four hundred forty-four million, one hundred fifty-one thousand, five hundred fifty-two".