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23618093424025 = 526728921632
BaseRepresentation
bin1010101111011000001000…
…00100011001110110011001
310002121212102112120000021211
411113230010010121312121
511043424323404032100
6122122000300503121
74655231241502252
oct527540404316631
9102555375500254
1023618093424025
117586417019601
12279541784aaa1
13102423b151ca9
145b919c3c3b29
152ae562b071ba
hex157b04119d99

23618093424025 has 81 divisors (see below), whose sum is σ = 30253467085821. Its totient is φ = 18290434884480.

The previous prime is 23618093424017. The next prime is 23618093424041. The reversal of 23618093424025 is 52042439081632.

The square root of 23618093424025 is 4859845.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4914924943369 + 18703168480656 = 2216963^2 + 4324716^2 .

It is not a de Polignac number, because 23618093424025 - 23 = 23618093424017 is a prime.

It is a super-3 number, since 3×236180934240253 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23618093424025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 144896278594 + ... + 144896278756.

Almost surely, 223618093424025 is an apocalyptic number.

23618093424025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23618093424025 is the 4859845-th square number.

23618093424025 is the 2429923-rd centered octagonal number.

It is an amenable number.

23618093424025 is a deficient number, since it is larger than the sum of its proper divisors (6635373661796).

23618093424025 is an frugal number, since it uses more digits than its factorization.

23618093424025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 23618093424025 in words is "twenty-three trillion, six hundred eighteen billion, ninety-three million, four hundred twenty-four thousand, twenty-five".

Divisors: 1 5 25 67 89 163 335 445 815 1675 2225 4075 4489 5963 7921 10921 14507 22445 26569 29815 39605 54605 72535 112225 132845 149075 198025 273025 362675 399521 530707 664225 731707 971969 1291123 1780123 1997605 2364641 2653535 3658535 4859845 6455615 8900615 9988025 11823205 13267675 18292675 24299225 32278075 35557369 44503075 59116025 65121923 86505241 119268241 158430947 177786845 210453049 325609615 432526205 596341205 792154735 888934225 1052265245 1628048075 2162631025 2981706025 3960773675 5261326225 5795851147 10614873449 14100354283 28979255735 53074367245 70501771415 144896278675 265371836225 352508857075 944723736961 4723618684805 23618093424025