Search a number
-
+
97744396624 = 2479721794129
BaseRepresentation
bin101101100001000000…
…1010010000101010000
3100100021222022211002221
41123002001102011100
53100140031142444
6112523025350424
710030124443240
oct1330201220520
9310258284087
1097744396624
11384a9188986
1216b3a498414
1392a94103a4
144a3366bb20
1528211d7a84
hex16c2052150

97744396624 has 80 divisors (see below), whose sum is σ = 218818633600. Its totient is φ = 41429532672.

The previous prime is 97744396609. The next prime is 97744396649. The reversal of 97744396624 is 42669344779.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23670592 + ... + 23674720.

It is an arithmetic number, because the mean of its divisors is an integer number (2735232920).

Almost surely, 297744396624 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 97744396624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109409316800).

97744396624 is an abundant number, since it is smaller than the sum of its proper divisors (121074236976).

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

97744396624 is a wasteful number, since it uses less digits than its factorization.

97744396624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6414 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 61.

The spelling of 97744396624 in words is "ninety-seven billion, seven hundred forty-four million, three hundred ninety-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2179 2716 4129 4358 5432 8258 8716 10864 15253 16516 17432 28903 30506 33032 34864 57806 61012 66064 115612 122024 211363 231224 244048 400513 422726 462448 801026 845452 1479541 1602052 1690904 2803591 2959082 3204104 3381808 5607182 5918164 6408208 8997091 11214364 11836328 17994182 22428728 23672656 35988364 44857456 62979637 71976728 125959274 143953456 251918548 503837096 872717827 1007674192 1745435654 3490871308 6109024789 6981742616 12218049578 13963485232 24436099156 48872198312 97744396624