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4612326642 = 23271122831069
BaseRepresentation
bin1000100101110101…
…01000010011110010
3102220102220110200200
410102322220103302
533421223423032
62041402100030
7222204062310
oct42272502362
912812813620
104612326642
111a575a1300
12a887aa616
13586744b81
1431a7c90b0
151bedca47c
hex112ea84f2

4612326642 has 144 divisors (see below), whose sum is σ = 12609804480. Its totient is φ = 1192656960.

The previous prime is 4612326613. The next prime is 4612326647. The reversal of 4612326642 is 2466232164.

4612326642 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 3 + 2 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4612326597 and 4612326606.

It is not an unprimeable number, because it can be changed into a prime (4612326647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4314084 + ... + 4315152.

Almost surely, 24612326642 is an apocalyptic number.

4612326642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4612326642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304902240).

4612326642 is an abundant number, since it is smaller than the sum of its proper divisors (7997477838).

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

4612326642 is a wasteful number, since it uses less digits than its factorization.

4612326642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4612326642 is about 67914.1122448052. The cubic root of 4612326642 is about 1664.5877160078.

The spelling of 4612326642 in words is "four billion, six hundred twelve million, three hundred twenty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 283 363 462 566 693 726 847 849 1069 1089 1386 1694 1698 1981 2138 2178 2541 2547 3113 3207 3962 5082 5094 5943 6226 6414 7483 7623 9339 9621 11759 11886 14966 15246 17829 18678 19242 21791 22449 23518 28017 34243 35277 35658 43582 44898 56034 65373 67347 68486 70554 82313 102729 105831 129349 130746 134694 164626 196119 205458 211662 239701 246939 258698 302527 308187 388047 392238 479402 493878 605054 616374 719103 740817 776094 905443 907581 1164141 1438206 1481634 1810886 1815162 2117689 2157309 2328282 2716329 2722743 3327797 4235378 4314618 5432658 5445486 6353067 6655594 8148987 9983391 12706134 16297974 19059201 19966782 23294579 29950173 36605767 38118402 46589158 59900346 69883737 73211534 109817301 139767474 209651211 219634602 256240369 329451903 419302422 512480738 658903806 768721107 1537442214 2306163321 4612326642