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24020660196 = 223213219872
BaseRepresentation
bin10110010111101111…
…100010111111100100
32022000001002222011100
4112113233202333210
5343143242111241
615011314040100
71510153146201
oct262757427744
968001088140
1024020660196
11a207044595
1247a4579030
13235a681100
14123c296ca8
15958c229b6
hex597be2fe4

24020660196 has 81 divisors (see below), whose sum is σ = 65781964521. Its totient is φ = 7387252704.

The previous prime is 24020660189. The next prime is 24020660227. The reversal of 24020660196 is 69106602042.

The square root of 24020660196 is 154986.

It is a perfect power (a square), and thus also a powerful number.

24020660196 is a `hidden beast` number, since 2 + 40 + 2 + 0 + 6 + 601 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3553352100 + 20467308096 = 59610^2 + 143064^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 24020660196.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12087915 + ... + 12089901.

Almost surely, 224020660196 is an apocalyptic number.

24020660196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

24020660196 is the 154986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24020660196

24020660196 is an abundant number, since it is smaller than the sum of its proper divisors (41761304325).

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

24020660196 is a wasteful number, since it uses less digits than its factorization.

24020660196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 24020660196 by its sum of digits (36), we get a square (864743767056 = 9299162).

24020660196 divided by its sum of digits (36) gives a square (667240561 = 258312).

The spelling of 24020660196 in words is "twenty-four billion, twenty million, six hundred sixty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 1987 2028 3042 3974 5961 6084 7948 11922 17883 23844 25831 35766 51662 71532 77493 103324 154986 232479 309972 335803 464958 671606 929916 1007409 1343212 2014818 3022227 3948169 4029636 6044454 7896338 11844507 12088908 15792676 23689014 35533521 47378028 51326197 71067042 102652394 142134084 153978591 205304788 307957182 461935773 615914364 667240561 923871546 1334481122 1847743092 2001721683 2668962244 4003443366 6005165049 8006886732 12010330098 24020660196