Search a number
-
+
10789988471136 = 25327167157920297
BaseRepresentation
bin1001110100000011110101…
…1011100001000101100000
31102012111211211220122001200
42131000331123201011200
52403240344022034021
634540504031401200
72162356654506450
oct235007533410540
942174754818050
1010789988471136
113490010219a16
121263209383200
13603650c0c004
142943499add60
1513aa1434b126
hex9d03d6e1160

10789988471136 has 288 divisors, whose sum is σ = 35301528138240. Its totient is φ = 3062302046208.

The previous prime is 10789988471131. The next prime is 10789988471189. The reversal of 10789988471136 is 63117488998701.

10789988471136 is a `hidden beast` number, since 1 + 0 + 78 + 9 + 9 + 88 + 471 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10789988471131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 531594940 + ... + 531615236.

It is an arithmetic number, because the mean of its divisors is an integer number (122574750480).

Almost surely, 210789988471136 is an apocalyptic number.

10789988471136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10789988471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650764069120).

10789988471136 is an abundant number, since it is smaller than the sum of its proper divisors (24511539667104).

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

10789988471136 is a wasteful number, since it uses less digits than its factorization.

10789988471136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22055 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 10789988471136 in words is "ten trillion, seven hundred eighty-nine billion, nine hundred eighty-eight million, four hundred seventy-one thousand, one hundred thirty-six".