Search a number
-
+
97396986240 = 2732589313607
BaseRepresentation
bin101101010110101010…
…0000001000110000000
3100022101202121112122200
41122231110001012000
53043432112024430
6112424335233200
710015405503051
oct1325524010600
9308352545580
1097396986240
1138340072364
1216a62078800
139252452b08
1449dd476728
152800961460
hex16ad501180

97396986240 has 384 divisors, whose sum is σ = 341751571200. Its totient is φ = 25556484096.

The previous prime is 97396986227. The next prime is 97396986263. The reversal of 97396986240 is 4268969379.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160456017 + ... + 160456623.

It is an arithmetic number, because the mean of its divisors is an integer number (889978050).

Almost surely, 297396986240 is an apocalyptic number.

97396986240 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 97396986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170875785600).

97396986240 is an abundant number, since it is smaller than the sum of its proper divisors (244354584960).

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

97396986240 is a wasteful number, since it uses less digits than its factorization.

97396986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 97396986240 in words is "ninety-seven billion, three hundred ninety-six million, nine hundred eighty-six thousand, two hundred forty".