Search a number
-
+
97117855744 = 213721337503
BaseRepresentation
bin101101001110010101…
…1001110000000000000
3100021200022101020121011
41122130223032000000
53042344132340434
6112340524410304
710005446103400
oct1323453160000
9307608336534
1097117855744
11382075524a8
12169a46a6994
139209681140
1449b4376800
1527d61c5e64
hex169cace000

97117855744 has 336 divisors, whose sum is σ = 250386238368. Its totient is φ = 37307547648.

The previous prime is 97117855727. The next prime is 97117855811. The reversal of 97117855744 is 44755871179.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193076997 + ... + 193077499.

It is an arithmetic number, because the mean of its divisors is an integer number (745197138).

Almost surely, 297117855744 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 97117855744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193119184).

97117855744 is an abundant number, since it is smaller than the sum of its proper divisors (153268382624).

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

97117855744 is a wasteful number, since it uses less digits than its factorization.

97117855744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 562 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 58.

The spelling of 97117855744 in words is "ninety-seven billion, one hundred seventeen million, eight hundred fifty-five thousand, seven hundred forty-four".