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3745138768 = 247314126309
BaseRepresentation
bin1101111100111010…
…0100100001010000
3100200000010202120021
43133032210201100
530132223420033
61415343153224
7161544103630
oct33716444120
910600122507
103745138768
111652040208
128862a5814
13478b99457
142775706c0
1516dbd0b2d
hexdf3a4850

3745138768 has 80 divisors (see below), whose sum is σ = 8769438720. Its totient is φ = 1515340800.

The previous prime is 3745138753. The next prime is 3745138801. The reversal of 3745138768 is 8678315473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129198 + ... + 155506.

It is an arithmetic number, because the mean of its divisors is an integer number (109617984).

Almost surely, 23745138768 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 3745138768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384719360).

3745138768 is an abundant number, since it is smaller than the sum of its proper divisors (5024299952).

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

3745138768 is a wasteful number, since it uses less digits than its factorization.

3745138768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26396 (or 26390 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The square root of 3745138768 is about 61197.5389047632. The cubic root of 3745138768 is about 1552.9446303192.

The spelling of 3745138768 in words is "three billion, seven hundred forty-five million, one hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1148 1271 1736 2296 2542 3472 4592 5084 8897 10168 17794 20336 26309 35588 52618 71176 105236 142352 184163 210472 368326 420944 736652 815579 1078669 1473304 1631158 2157338 2946608 3262316 4314676 5709053 6524632 7550683 8629352 11418106 13049264 15101366 17258704 22836212 30202732 33438739 45672424 60405464 66877478 91344848 120810928 133754956 234071173 267509912 468142346 535019824 936284692 1872569384 3745138768