Search a number
-
+
23251008014532 = 223217416115190661
BaseRepresentation
bin1010100100101100011000…
…00100101100100011000100
310001022202220201121002012200
411102112030010230203010
511021421031022431112
6121241210550314500
74616554440136434
oct522261404544304
9101282821532180
1023251008014532
117454773965221
12273624b658a30
13cc873998790c
145a54d779c2c4
152a4c2ab59cdc
hex15258c12c8c4

23251008014532 has 144 divisors (see below), whose sum is σ = 64793520543024. Its totient is φ = 6999856128000.

The previous prime is 23251008014503. The next prime is 23251008014543. The reversal of 23251008014532 is 23541080015232.

23251008014532 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 100 + 8 + 0 + 14 + 532 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12214353969216 + 11036654045316 = 3494904^2 + 3322146^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6064719 + ... + 9125942.

It is an arithmetic number, because the mean of its divisors is an integer number (449955003771).

Almost surely, 223251008014532 is an apocalyptic number.

It is an amenable number.

23251008014532 is an abundant number, since it is smaller than the sum of its proper divisors (41542512528492).

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

23251008014532 is a wasteful number, since it uses less digits than its factorization.

23251008014532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190790 (or 15190785 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 23251008014532 its reverse (23541080015232), we get a palindrome (46792088029764).

The spelling of 23251008014532 in words is "twenty-three trillion, two hundred fifty-one billion, eight million, fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 61 68 82 102 122 123 153 164 183 204 244 246 306 366 369 492 549 612 697 732 738 1037 1098 1394 1476 2074 2091 2196 2501 2788 3111 4148 4182 5002 6222 6273 7503 8364 9333 10004 12444 12546 15006 18666 22509 25092 30012 37332 42517 45018 85034 90036 127551 170068 255102 382653 510204 765306 1530612 15190661 30381322 45571983 60762644 91143966 136715949 182287932 258241237 273431898 516482474 546863796 622817101 774723711 926630321 1032964948 1245634202 1549447422 1853260642 1868451303 2324171133 2491268404 2779890963 3098894844 3706521284 3736902606 4648342266 5559781926 5605353909 7473805212 8339672889 9296684532 10587890717 11119563852 11210707818 15752715457 16679345778 21175781434 22421415636 31505430914 31763672151 33358691556 37991843161 42351562868 47258146371 63010861828 63527344302 75983686322 94516292742 95291016453 113975529483 127054688604 141774439113 151967372644 189032585484 190582032906 227951058966 283548878226 341926588449 381164065812 455902117932 567097756452 645861333737 683853176898 1291722667474 1367706353796 1937584001211 2583445334948 3875168002422 5812752003633 7750336004844 11625504007266 23251008014532