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3977668332 = 22321127431229
BaseRepresentation
bin1110110100010110…
…0110011011101100
3101021012200111011100
43231011212123230
531121240341312
61454411123100
7200366423451
oct35505463354
911235614140
103977668332
111761321100
12930143490
134b5102c01
1429a3bd828
151843135dc
hexed1666ec

3977668332 has 108 divisors (see below), whose sum is σ = 11075697360. Its totient is φ = 1202752320.

The previous prime is 3977668301. The next prime is 3977668351. The reversal of 3977668332 is 2338667793.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3235894 + ... + 3237122.

Almost surely, 23977668332 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 3977668332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537848680).

3977668332 is an abundant number, since it is smaller than the sum of its proper divisors (7098029028).

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

3977668332 is a wasteful number, since it uses less digits than its factorization.

3977668332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1988 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3977668332 is about 63068.7587637493. The cubic root of 3977668332 is about 1584.4414278977.

The spelling of 3977668332 in words is "three billion, nine hundred seventy-seven million, six hundred sixty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 743 1089 1229 1452 1486 2178 2229 2458 2972 3687 4356 4458 4916 6687 7374 8173 8916 11061 13374 13519 14748 16346 22122 24519 26748 27038 32692 40557 44244 49038 54076 73557 81114 89903 98076 121671 147114 148709 162228 179806 243342 269709 294228 297418 359612 446127 486684 539418 594836 809127 892254 913147 1078836 1338381 1618254 1784508 1826294 2676762 2739441 3236508 3652588 5353524 5478882 8218323 10044617 10957764 16436646 20089234 30133851 32873292 40178468 60267702 90401553 110490787 120535404 180803106 220981574 331472361 361606212 441963148 662944722 994417083 1325889444 1988834166 3977668332