Search a number
-
+
97915789440 = 2733571722801
BaseRepresentation
bin101101100110000111…
…1000110000010000000
3100100201220211110212000
41123030033012002000
53101012420230230
6112552031104000
710034305322610
oct1331417060200
9310656743760
1097915789440
1138586a01937
1216b87972000
139305a8c661
144a4c324a40
152831290b60
hex16cc3c6080

97915789440 has 768 divisors, whose sum is σ = 421160774400. Its totient is φ = 21056716800.

The previous prime is 97915789429. The next prime is 97915789453. The reversal of 97915789440 is 4498751979.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34956040 + ... + 34958840.

It is an arithmetic number, because the mean of its divisors is an integer number (548386425).

Almost surely, 297915789440 is an apocalyptic number.

97915789440 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 97915789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210580387200).

97915789440 is an abundant number, since it is smaller than the sum of its proper divisors (323244984960).

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

97915789440 is a wasteful number, since it uses less digits than its factorization.

97915789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 97915789440 in words is "ninety-seven billion, nine hundred fifteen million, seven hundred eighty-nine thousand, four hundred forty".