Search a number
-
+
97254831072 = 25371728792957
BaseRepresentation
bin101101010010011010…
…1101111001111100000
3100022000212010022102110
41122210311233033200
53043134214043242
6112402300315320
710012031265360
oct1324465571740
9308025108373
1097254831072
11382778a9053
1216a22542b40
13922bb6c829
1449c86309a0
1527e323139c
hex16a4d6f3e0

97254831072 has 192 divisors, whose sum is σ = 309138923520. Its totient is φ = 26134634496.

The previous prime is 97254831071. The next prime is 97254831077. The reversal of 97254831072 is 27013845279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97254831071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32888218 + ... + 32891174.

It is an arithmetic number, because the mean of its divisors is an integer number (1610098560).

Almost surely, 297254831072 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 97254831072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154569461760).

97254831072 is an abundant number, since it is smaller than the sum of its proper divisors (211884092448).

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

97254831072 is a wasteful number, since it uses less digits than its factorization.

97254831072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 97254831072 in words is "ninety-seven billion, two hundred fifty-four million, eight hundred thirty-one thousand, seventy-two".