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3973432168 = 2317173281601
BaseRepresentation
bin1110110011010101…
…1100001101101000
3101020220201021020101
43230311130031220
531114144312133
61454140235144
7200315421226
oct35465341550
911226637211
103973432168
111759998442
1292a83bab4
134b427b9c4
142999d9b16
15183c7837d
hexecd5c368

3973432168 has 64 divisors (see below), whose sum is σ = 7975512720. Its totient is φ = 1849344000.

The previous prime is 3973432159. The next prime is 3973432189. The reversal of 3973432168 is 8612343793.

It can be written as a sum of positive squares in 8 ways, for example, as 3916006084 + 57426084 = 62578^2 + 7578^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6611068 + ... + 6611668.

Almost surely, 23973432168 is an apocalyptic number.

It is an amenable number.

3973432168 is an abundant number, since it is smaller than the sum of its proper divisors (4002080552).

3973432168 is a wasteful number, since it uses less digits than its factorization.

3973432168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 3973432168 is about 63035.1661217768. The cubic root of 3973432168 is about 1583.8787584055.

The spelling of 3973432168 in words is "three billion, nine hundred seventy-three million, four hundred thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 136 173 281 346 562 601 692 1124 1202 1384 2248 2404 2941 4777 4808 5882 9554 10217 11764 19108 20434 23528 38216 40868 48613 81736 97226 103973 168881 194452 207946 337762 388904 415892 675524 826421 831784 1351048 1652842 1767541 2870977 3305684 3535082 5741954 6611368 7070164 11483908 14140328 22967816 29216413 58432826 116865652 233731304 496679021 993358042 1986716084 3973432168