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10027520223876 = 2232292181992
BaseRepresentation
bin1001000111101011011011…
…0001111110101010000100
31022111121210010101110212100
42101322312301332222010
52303242330134131001
633154325034552100
72053315204365201
oct221726661765204
938447703343770
1010027520223876
1132167138275a1
12115b498298630
1357978b85246c
142694980acca8
15125c8aed8586
hex91eb6c7ea84

10027520223876 has 81 divisors (see below), whose sum is σ = 26252971169061. Its totient is φ = 3227070557088.

The previous prime is 10027520223793. The next prime is 10027520223893. The reversal of 10027520223876 is 67832202572001.

The square root of 10027520223876 is 3166626.

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

10027520223876 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 7 + 520 + 22 + 38 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5258188369476 + 4769331854400 = 2293074^2 + 2183880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 550983825 + ... + 551002023.

Almost surely, 210027520223876 is an apocalyptic number.

10027520223876 is the 3166626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10027520223876

10027520223876 is an abundant number, since it is smaller than the sum of its proper divisors (16225450945185).

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

10027520223876 is an frugal number, since it uses more digits than its factorization.

10027520223876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36466 (or 18233 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 10027520223876 its reverse (67832202572001), we get a palindrome (77859722795877).

The spelling of 10027520223876 in words is "ten trillion, twenty-seven billion, five hundred twenty million, two hundred twenty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 18199 30276 36398 54597 72796 109194 163791 218388 327582 527771 655164 1055542 1583313 2111084 3166626 4749939 6333252 9499878 15305359 18999756 30610718 45916077 61221436 91832154 137748231 183664308 275496462 331203601 550992924 662407202 993610803 1324814404 1987221606 2980832409 3974443212 5961664818 9604904429 11923329636 19209808858 28814713287 38419617716 57629426574 86444139861 115258853148 172888279722 278542228441 345776559444 557084456882 835626685323 1114168913764 1671253370646 2506880055969 3342506741292 5013760111938 10027520223876