Search a number
-
+
6104581752 = 23331371032153
BaseRepresentation
bin1011010111101110…
…01000011001111000
3120202102211212212110
411223313020121320
5100000233104002
62445430212320
7304164042303
oct55367103170
916672755773
106104581752
112652971695
1212244b40a0
13763954b69
1441ca73b3a
1525ade4e6c
hex16bdc8678

6104581752 has 128 divisors (see below), whose sum is σ = 16344207360. Its totient is φ = 1896514560.

The previous prime is 6104581741. The next prime is 6104581753. The reversal of 6104581752 is 2571854016.

It is a self number, because there is not a number n which added to its sum of digits gives 6104581752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6104581753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2834308 + ... + 2836460.

It is an arithmetic number, because the mean of its divisors is an integer number (127689120).

Almost surely, 26104581752 is an apocalyptic number.

6104581752 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6104581752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172103680).

6104581752 is an abundant number, since it is smaller than the sum of its proper divisors (10239625608).

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

6104581752 is a wasteful number, since it uses less digits than its factorization.

6104581752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 6104581752 is about 78131.8229148661. The cubic root of 6104581752 is about 1827.6174865629.

The spelling of 6104581752 in words is "six billion, one hundred four million, five hundred eighty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 103 111 124 148 186 206 222 248 296 309 372 412 444 618 744 824 888 1147 1236 2153 2294 2472 3193 3441 3811 4306 4588 6386 6459 6882 7622 8612 9176 9579 11433 12772 12918 13764 15244 17224 19158 22866 25544 25836 27528 30488 38316 45732 51672 66743 76632 79661 91464 118141 133486 159322 200229 221759 236282 238983 266972 318644 354423 400458 443518 472564 477966 533944 637288 665277 708846 800916 887036 945128 955932 1330554 1417692 1601832 1774072 1911864 2469491 2661108 2835384 4938982 5322216 6874529 7408473 8205083 9877964 13749058 14816946 16410166 19755928 20623587 24615249 27498116 29633892 32820332 41247174 49230498 54996232 59267784 65640664 82494348 98460996 164988696 196921992 254357573 508715146 763072719 1017430292 1526145438 2034860584 3052290876 6104581752