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3978331760 = 2451337103387
BaseRepresentation
bin1110110100100000…
…1000011001110000
3101021020221012012202
43231020020121300
531121423104020
61454433242332
7200405155604
oct35510103160
911236835182
103978331760
111761734597
129304033a8
134b52a5b80
1429a513504
151843e4e75
hexed208670

3978331760 has 80 divisors (see below), whose sum is σ = 10230449376. Its totient is φ = 1429208064.

The previous prime is 3978331741. The next prime is 3978331771. The reversal of 3978331760 is 671338793.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 13214 + ... + 90173.

Almost surely, 23978331760 is an apocalyptic number.

It is an amenable number.

3978331760 is an abundant number, since it is smaller than the sum of its proper divisors (6252117616).

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

3978331760 is a wasteful number, since it uses less digits than its factorization.

3978331760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103450 (or 103444 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 47.

The square root of 3978331760 is about 63074.0181057145. The cubic root of 3978331760 is about 1584.5295116933.

The spelling of 3978331760 in words is "three billion, nine hundred seventy-eight million, three hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 103387 206774 413548 516935 827096 1033870 1344031 1654192 2067740 2688062 3825319 4135480 5376124 6720155 7650638 8270960 10752248 13440310 15301276 19126595 21504496 26880620 30602552 38253190 49729147 53761240 61205104 76506380 99458294 107522480 153012760 198916588 248645735 306025520 397833176 497291470 795666352 994582940 1989165880 3978331760