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4114664652 = 22372292271063
BaseRepresentation
bin1111010101000000…
…1100110011001100
3101121202110121210010
43311100030303030
531411323232102
61520143313220
7203652033600
oct36520146314
911552417703
104114664652
1118216914aa
12969bab810
135075cb017
142b0681500
15191374d6c
hexf540cccc

4114664652 has 144 divisors (see below), whose sum is σ = 11615304960. Its totient is φ = 1129016448.

The previous prime is 4114664647. The next prime is 4114664747. The reversal of 4114664652 is 2564664114.

It is a super-2 number, since 2×41146646522 = 33860930396836562208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4114664652.

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, 3870273 + ... + 3871335.

It is an arithmetic number, because the mean of its divisors is an integer number (80661840).

Almost surely, 24114664652 is an apocalyptic number.

4114664652 is a gapful number since it is divisible by the number (42) 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 4114664652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807652480).

4114664652 is an abundant number, since it is smaller than the sum of its proper divisors (7500640308).

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

4114664652 is a wasteful number, since it uses less digits than its factorization.

4114664652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 4114664652 is about 64145.6518557571. The cubic root of 4114664652 is about 1602.4266110928.

The spelling of 4114664652 in words is "four billion, one hundred fourteen million, six hundred sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 227 294 348 406 454 588 609 681 812 908 1063 1218 1362 1421 1589 2126 2436 2724 2842 3178 3189 4252 4263 4767 5684 6356 6378 6583 7441 8526 9534 11123 12756 13166 14882 17052 19068 19749 22246 22323 26332 29764 30827 33369 39498 44492 44646 46081 52087 61654 66738 78996 89292 92162 92481 104174 123308 133476 138243 156261 184324 184962 208348 215789 241301 276486 312522 322567 369924 431578 482602 552972 625044 645134 647367 723903 863156 965204 967701 1290268 1294734 1447806 1510523 1689107 1935402 2589468 2895612 3021046 3378214 3870804 4531569 5067321 6042092 6756428 6997729 9063138 10134642 11823749 13995458 18126276 20269284 20993187 23647498 27990916 35471247 41986374 47294996 48984103 70942494 83972748 97968206 141884988 146952309 195936412 293904618 342888721 587809236 685777442 1028666163 1371554884 2057332326 4114664652