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3975219968 = 28433311091
BaseRepresentation
bin1110110011110001…
…0000101100000000
3101021001002002122012
43230330100230000
531120124014333
61454242432052
7200336545406
oct35474205400
911231062565
103975219968
11175a9a9665
1292b362628
134b4756685
14299d43476
15183ecce48
hexecf10b00

3975219968 has 72 divisors (see below), whose sum is σ = 8151439296. Its totient is φ = 1933747200.

The previous prime is 3975219943. The next prime is 3975220009. The reversal of 3975219968 is 8699125793.

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 7 ways as a sum of consecutive naturals, for example, 3643103 + ... + 3644193.

Almost surely, 23975219968 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 3975219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075719648).

3975219968 is an abundant number, since it is smaller than the sum of its proper divisors (4176219328).

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

3975219968 is a wasteful number, since it uses less digits than its factorization.

3975219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1467 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 59.

The square root of 3975219968 is about 63049.3455001715. The cubic root of 3975219968 is about 1584.1162721166.

The spelling of 3975219968 in words is "three billion, nine hundred seventy-five million, two hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 331 344 662 688 1091 1324 1376 2182 2648 2752 4364 5296 5504 8728 10592 11008 14233 17456 21184 28466 34912 42368 46913 56932 69824 84736 93826 113864 139648 187652 227728 279296 361121 375304 455456 722242 750608 910912 1444484 1501216 1821824 2888968 3002432 3643648 5777936 6004864 11555872 12009728 15528203 23111744 31056406 46223488 62112812 92446976 124225624 248451248 496902496 993804992 1987609984 3975219968