Search a number
-
+
39741680208 = 2434799717669
BaseRepresentation
bin100101000000110010…
…011110101001010000
310210120122222112100210
4211000302132221100
51122342332231313
630131310044120
72604556464606
oct450062365120
9123518875323
1039741680208
111594416260a
1278514a9640
1339946b9009
141cd0167876
151078eac9c3
hex940c9ea50

39741680208 has 80 divisors (see below), whose sum is σ = 104961496320. Its totient is φ = 12951633408.

The previous prime is 39741680159. The next prime is 39741680221. The reversal of 39741680208 is 80208614793.

It is a super-2 number, since 2×397416802082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2240398 + ... + 2258066.

It is an arithmetic number, because the mean of its divisors is an integer number (1312018704).

Almost surely, 239741680208 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 39741680208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52480748160).

39741680208 is an abundant number, since it is smaller than the sum of its proper divisors (65219816112).

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

39741680208 is a wasteful number, since it uses less digits than its factorization.

39741680208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18724 (or 18718 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 39741680208 in words is "thirty-nine billion, seven hundred forty-one million, six hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 997 1128 1994 2256 2991 3988 5982 7976 11964 15952 17669 23928 35338 46859 47856 53007 70676 93718 106014 140577 141352 187436 212028 281154 282704 374872 424056 562308 749744 830443 848112 1124616 1660886 2249232 2491329 3321772 4982658 6643544 9965316 13287088 17615993 19930632 35231986 39861264 52847979 70463972 105695958 140927944 211391916 281855888 422783832 827951671 845567664 1655903342 2483855013 3311806684 4967710026 6623613368 9935420052 13247226736 19870840104 39741680208