Search a number
-
+
10665660000 = 25354177761
BaseRepresentation
bin10011110111011100…
…10000111001100000
31000112022022122222110
421323232100321200
5133320402110000
64522202035320
7525206420442
oct117356207140
930468278873
1010665660000
11458353a246
122097aa8b40
13100c895328
1473271c492
1542654a850
hex27bb90e60

10665660000 has 120 divisors (see below), whose sum is σ = 34985694744. Its totient is φ = 2844160000.

The previous prime is 10665659993. The next prime is 10665660007. The reversal of 10665660000 is 6656601.

10665660000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10665659993) and next prime (10665660007).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106656600002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10665660000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665660007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 28881 + ... + 148880.

Almost surely, 210665660000 is an apocalyptic number.

10665660000 is a gapful number since it is divisible by the number (10) 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 10665660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492847372).

10665660000 is an abundant number, since it is smaller than the sum of its proper divisors (24320034744).

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

10665660000 is an equidigital number, since it uses as much as digits as its factorization.

10665660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177794 (or 177771 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10665660000 in words is "ten billion, six hundred sixty-five million, six hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 177761 355522 533283 711044 888805 1066566 1422088 1777610 2133132 2666415 2844176 3555220 4266264 4444025 5332830 5688352 7110440 8532528 8888050 10665660 13332075 14220880 17065056 17776100 21331320 22220125 26664150 28441760 35552200 42662640 44440250 53328300 66660375 71104400 85325280 88880500 106656600 111100625 133320750 142208800 177761000 213313200 222201250 266641500 333301875 355522000 426626400 444402500 533283000 666603750 711044000 888805000 1066566000 1333207500 1777610000 2133132000 2666415000 3555220000 5332830000 10665660000