Search a number
-
+
4675091664 = 2431719331911
BaseRepresentation
bin1000101101010100…
…00011110011010000
3110001211000021010010
410112222003303100
534033310413124
62051523234520
7223565423565
oct42652036320
913054007103
104675091664
111a89a70621
12aa5818a40
1359674c539
14324c8686c
151c5677529
hex116a83cd0

4675091664 has 160 divisors (see below), whose sum is σ = 13516277760. Its totient is φ = 1383782400.

The previous prime is 4675091651. The next prime is 4675091669. The reversal of 4675091664 is 4661905764.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4675091669) 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, 5131369 + ... + 5132279.

It is an arithmetic number, because the mean of its divisors is an integer number (84476736).

Almost surely, 24675091664 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 4675091664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758138880).

4675091664 is an abundant number, since it is smaller than the sum of its proper divisors (8841186096).

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

4675091664 is a wasteful number, since it uses less digits than its factorization.

4675091664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4675091664 is about 68374.6419661558. The cubic root of 4675091664 is about 1672.1043504541.

The spelling of 4675091664 in words is "four billion, six hundred seventy-five million, ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 331 408 456 646 662 816 911 912 969 993 1292 1324 1822 1938 1986 2584 2648 2733 3644 3876 3972 5168 5296 5466 5627 6289 7288 7752 7944 10932 11254 12578 14576 15487 15504 15888 16881 17309 18867 21864 22508 25156 30974 33762 34618 37734 43728 45016 46461 50312 51927 61948 67524 69236 75468 90032 92922 100624 103854 106913 123896 135048 138472 150936 185844 207708 213826 247792 270096 276944 294253 301541 301872 320739 371688 415416 427652 588506 603082 641478 743376 830832 855304 882759 904623 1177012 1206164 1282956 1710608 1765518 1809246 2354024 2412328 2565912 3531036 3618492 4708048 4824656 5126197 5131824 5729279 7062072 7236984 10252394 11458558 14124144 14473968 15378591 17187837 20504788 22917116 30757182 34375674 41009576 45834232 61514364 68751348 82019152 91668464 97397743 123028728 137502696 194795486 246057456 275005392 292193229 389590972 584386458 779181944 1168772916 1558363888 2337545832 4675091664