Search a number
-
+
10654052620050 = 23252717245980909
BaseRepresentation
bin1001101100001001011100…
…0001011001011100010010
31101201111222020121220112100
42123002113001121130102
52344023444432320200
634354223150341230
72146505233031010
oct233022701313422
941644866556470
1010654052620050
1134383a3a54034
1212409b07ba816
135c389933bc78
1428b9320338b0
1513720a321d00
hex9b097059712

10654052620050 has 288 divisors, whose sum is σ = 34651824105600. Its totient is φ = 2291003873280.

The previous prime is 10654052619943. The next prime is 10654052620063. The reversal of 10654052620050 is 5002625045601.

10654052620050 is a `hidden beast` number, since 1 + 0 + 6 + 540 + 5 + 2 + 62 + 0 + 0 + 50 = 666.

It is a super-2 number, since 2×106540526200502 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10654052619987 and 10654052620014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131638996 + ... + 131719904.

It is an arithmetic number, because the mean of its divisors is an integer number (120318833700).

Almost surely, 210654052620050 is an apocalyptic number.

10654052620050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10654052620050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17325912052800).

10654052620050 is an abundant number, since it is smaller than the sum of its proper divisors (23997771485550).

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

10654052620050 is a wasteful number, since it uses less digits than its factorization.

10654052620050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83410 (or 83402 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10654052620050 its reverse (5002625045601), we get a palindrome (15656677665651).

The spelling of 10654052620050 in words is "ten trillion, six hundred fifty-four billion, fifty-two million, six hundred twenty thousand, fifty".