Search a number
-
+
97249950360 = 233251947302507
BaseRepresentation
bin101101010010010001…
…1000111101010011000
3100022000111221100100100
41122210203013222120
53043131441402420
6112402003535400
710011641640033
oct1324443075230
9308014840310
1097249950360
1138275075102
1216a2098a560
13922ab51134
1449c7b2001a
1527e2aba190
hex16a48c7a98

97249950360 has 192 divisors, whose sum is σ = 339776985600. Its totient is φ = 24045596928.

The previous prime is 97249950349. The next prime is 97249950377. The reversal of 97249950360 is 6305994279.

97249950360 is a `hidden beast` number, since 9 + 72 + 4 + 9 + 9 + 503 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97249950297 and 97249950306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170227 + ... + 472733.

It is an arithmetic number, because the mean of its divisors is an integer number (1769671800).

Almost surely, 297249950360 is an apocalyptic number.

97249950360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97249950360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169888492800).

97249950360 is an abundant number, since it is smaller than the sum of its proper divisors (242527035240).

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

97249950360 is a wasteful number, since it uses less digits than its factorization.

97249950360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302590 (or 302583 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 97249950360 in words is "ninety-seven billion, two hundred forty-nine million, nine hundred fifty thousand, three hundred sixty".