Search a number
-
+
97328797440 = 283577095107
BaseRepresentation
bin101101010100100111…
…1111001011100000000
3100022020000022012012120
41122221033321130000
53043312133004230
6112413501524240
710013620061640
oct1325117713400
9308200265176
1097328797440
1138305629086
1216a43273680
139241299804
1449d43a6520
1527e9992310
hex16a93f9700

97328797440 has 288 divisors, whose sum is σ = 355820828160. Its totient is φ = 22210854912.

The previous prime is 97328797439. The next prime is 97328797457. The reversal of 97328797440 is 4479782379.

It is a super-2 number, since 2×973287974402 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19055367 + ... + 19060473.

Almost surely, 297328797440 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 97328797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177910414080).

97328797440 is an abundant number, since it is smaller than the sum of its proper divisors (258492030720).

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

97328797440 is a wasteful number, since it uses less digits than its factorization.

97328797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 97328797440 in words is "ninety-seven billion, three hundred twenty-eight million, seven hundred ninety-seven thousand, four hundred forty".