Search a number
-
+
97352358840 = 233351119431297
BaseRepresentation
bin101101010101010100…
…1110001101110111000
3100022021122122020101000
41122222221301232320
53043334200440330
6112420102525000
710014324253032
oct1325251615670
9308248566330
1097352358840
1138317961110
1216a4b136760
139246128c79
1449d757ac52
1527eba98560
hex16aaa71bb8

97352358840 has 256 divisors, whose sum is σ = 372641472000. Its totient is φ = 22358384640.

The previous prime is 97352358823. The next prime is 97352358853. The reversal of 97352358840 is 4885325379.

97352358840 is a `hidden beast` number, since 9 + 7 + 3 + 52 + 3 + 588 + 4 + 0 = 666.

It is a super-2 number, since 2×973523588402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10072 + ... + 441368.

It is an arithmetic number, because the mean of its divisors is an integer number (1455630750).

Almost surely, 297352358840 is an apocalyptic number.

97352358840 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 97352358840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186320736000).

97352358840 is an abundant number, since it is smaller than the sum of its proper divisors (275289113160).

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

97352358840 is a wasteful number, since it uses less digits than its factorization.

97352358840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431347 (or 431337 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 97352358840 in words is "ninety-seven billion, three hundred fifty-two million, three hundred fifty-eight thousand, eight hundred forty".