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3749725104 = 2431132712551
BaseRepresentation
bin1101111110000000…
…0100001110110000
3100200022202202211120
43133200010032300
530134412200404
61420025342240
7161631065106
oct33740041660
910608682746
103749725104
111654692a74
12887937980
13479b13b68
14278005c76
1516e2d99d9
hexdf8043b0

3749725104 has 80 divisors (see below), whose sum is σ = 9812419584. Its totient is φ = 1233792000.

The previous prime is 3749725103. The next prime is 3749725129. The reversal of 3749725104 is 4015279473.

It is not an unprimeable number, because it can be changed into a prime (3749725103) 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, 1468629 + ... + 1471179.

Almost surely, 23749725104 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 3749725104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906209792).

3749725104 is an abundant number, since it is smaller than the sum of its proper divisors (6062694480).

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

3749725104 is a wasteful number, since it uses less digits than its factorization.

3749725104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 3749725104 is about 61234.9990120029. Note that the first 3 decimals coincide. The cubic root of 3749725104 is about 1553.5782891254.

The spelling of 3749725104 in words is "three billion, seven hundred forty-nine million, seven hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 271 339 452 542 678 813 904 1084 1356 1626 1808 2168 2551 2712 3252 4336 5102 5424 6504 7653 10204 13008 15306 20408 30612 30623 40816 61224 61246 91869 122448 122492 183738 244984 288263 367476 489968 576526 691321 734952 864789 1153052 1382642 1469904 1729578 2073963 2306104 2765284 3459156 4147926 4612208 5530568 6918312 8295852 11061136 13836624 16591704 33183408 78119273 156238546 234357819 312477092 468715638 624954184 937431276 1249908368 1874862552 3749725104