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4961332332 = 22321153972437
BaseRepresentation
bin1001001111011011…
…11110110001101100
3110210202121210111100
410213231332301230
540130100113312
62140150323100
7233642425515
oct44755766154
913722553440
104961332332
1121165a7460
12b65659490
13610b40608
14350cb7a0c
151e08695dc
hex127b7ec6c

4961332332 has 144 divisors (see below), whose sum is σ = 14088870432. Its totient is φ = 1459261440.

The previous prime is 4961332301. The next prime is 4961332357. The reversal of 4961332332 is 2332331694.

4961332332 is a `hidden beast` number, since 4 + 9 + 613 + 3 + 2 + 3 + 32 = 666.

It is a super-2 number, since 2×49613323322 = 49229637017097116448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2034618 + ... + 2037054.

It is an arithmetic number, because the mean of its divisors is an integer number (97839378).

Almost surely, 24961332332 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 4961332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044435216).

4961332332 is an abundant number, since it is smaller than the sum of its proper divisors (9127538100).

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

4961332332 is a wasteful number, since it uses less digits than its factorization.

4961332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2603 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 4961332332 is about 70436.7257331003. The cubic root of 4961332332 is about 1705.5564821829.

The spelling of 4961332332 in words is "four billion, nine hundred sixty-one million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 97 99 106 132 159 194 198 212 291 318 388 396 477 582 583 636 873 954 1067 1164 1166 1746 1749 1908 2134 2332 2437 3201 3492 3498 4268 4874 5141 5247 6402 6996 7311 9603 9748 10282 10494 12804 14622 15423 19206 20564 20988 21933 26807 29244 30846 38412 43866 46269 53614 56551 61692 80421 87732 92538 107228 113102 129161 160842 169653 185076 226204 236389 241263 258322 321684 339306 387483 472778 482526 508959 516644 678612 709167 774966 945556 965052 1017918 1162449 1418334 1420771 1549932 2035836 2127501 2324898 2600279 2836668 2841542 4255002 4262313 4649796 5200558 5683084 7800837 8510004 8524626 10401116 12528617 12786939 15601674 17049252 23402511 25057234 25573878 31203348 37585851 46805022 50114468 51147756 75171702 93610044 112757553 137814787 150343404 225515106 275629574 413444361 451030212 551259148 826888722 1240333083 1653777444 2480666166 4961332332