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4112561322 = 234232371297
BaseRepresentation
bin1111010100100000…
…1011010010101010
3101121121111202120000
43311020023102222
531410303430242
61520030243430
7203625123462
oct36510132252
911547452500
104112561322
111820485211
12969356576
1350704284c
142b0294ba2
151910aba4c
hexf520b4aa

4112561322 has 120 divisors (see below), whose sum is σ = 9901250436. Its totient is φ = 1274828544.

The previous prime is 4112561303. The next prime is 4112561333. The reversal of 4112561322 is 2231652114.

4112561322 is a `hidden beast` number, since 4 + 1 + 1 + 25 + 613 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2830133601 + 1282427721 = 53199^2 + 35811^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3170178 + ... + 3171474.

Almost surely, 24112561322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112561322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950625218).

4112561322 is an abundant number, since it is smaller than the sum of its proper divisors (5788689114).

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

4112561322 is a wasteful number, since it uses less digits than its factorization.

4112561322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1362 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4112561322 is about 64129.2548062115. The cubic root of 4112561322 is about 1602.1535222986.

The spelling of 4112561322 in words is "four billion, one hundred twelve million, five hundred sixty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 81 111 138 162 207 222 333 414 529 621 666 851 999 1058 1242 1297 1587 1702 1863 1998 2553 2594 2997 3174 3726 3891 4761 5106 5994 7659 7782 9522 11673 14283 15318 19573 22977 23346 28566 29831 35019 39146 42849 45954 47989 58719 59662 68931 70038 85698 89493 95978 105057 117438 137862 143967 176157 178986 210114 268479 287934 352314 431901 528471 536958 686113 805437 863802 1056942 1103747 1295703 1372226 1585413 1610874 2058339 2207494 2416311 2591406 3170826 3311241 3887109 4116678 4832622 6175017 6622482 7774218 9933723 12350034 18525051 19867446 25386181 29801169 37050102 50772362 55575153 59602338 76158543 89403507 111150306 152317086 178807014 228475629 456951258 685426887 1370853774 2056280661 4112561322