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3783978672 = 243435334591
BaseRepresentation
bin1110000110001010…
…1110111010110000
3100202201020000220020
43201202232322300
530222144304142
61423251443440
7162525200535
oct34142567260
910681200806
103783978672
111671a59201
128972b6580
13483c47c46
1427c7a0d8c
15172303cec
hexe18aeeb0

3783978672 has 80 divisors (see below), whose sum is σ = 10191633408. Its totient is φ = 1208712960.

The previous prime is 3783978613. The next prime is 3783978673. The reversal of 3783978672 is 2768793873.

3783978672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3783978673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92097 + ... + 126687.

Almost surely, 23783978672 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 3783978672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095816704).

3783978672 is an abundant number, since it is smaller than the sum of its proper divisors (6407654736).

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

3783978672 is a wasteful number, since it uses less digits than its factorization.

3783978672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34698 (or 34692 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 60.

The square root of 3783978672 is about 61514.0526384013. The cubic root of 3783978672 is about 1558.2945794119.

The spelling of 3783978672 in words is "three billion, seven hundred eighty-three million, nine hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 2064 2279 2544 4558 6837 9116 13674 18232 27348 34591 36464 54696 69182 103773 109392 138364 207546 276728 415092 553456 830184 1487413 1660368 1833323 2974826 3666646 4462239 5499969 5949652 7333292 8924478 10999938 11899304 14666584 17848956 21999876 23798608 29333168 35697912 43999752 71395824 78832889 87999504 157665778 236498667 315331556 472997334 630663112 945994668 1261326224 1891989336 3783978672