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10665661050 = 232521112911669
BaseRepresentation
bin10011110111011100…
…10001001001111010
31000112022022201102100
421323232101021322
5133320402123200
64522202044230
7525206423502
oct117356211172
930468281370
1010665661050
114583540010
122097aa9676
13100c895955
1473271ca02
1542654ad00
hex27bb9127a

10665661050 has 144 divisors (see below), whose sum is σ = 31303041120. Its totient is φ = 2582064000.

The previous prime is 10665661049. The next prime is 10665661051. The reversal of 10665661050 is 5016656601.

It is an interprime number because it is at equal distance from previous prime (10665661049) and next prime (10665661051).

It is a super-2 number, since 2×106656610502 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10665660996 and 10665661014.

It is not an unprimeable number, because it can be changed into a prime (10665661051) 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 71 ways as a sum of consecutive naturals, for example, 6389616 + ... + 6391284.

It is an arithmetic number, because the mean of its divisors is an integer number (217382230).

Almost surely, 210665661050 is an apocalyptic number.

10665661050 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 10665661050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651520560).

10665661050 is an abundant number, since it is smaller than the sum of its proper divisors (20637380070).

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

10665661050 is a wasteful number, since it uses less digits than its factorization.

10665661050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10665661050 in words is "ten billion, six hundred sixty-five million, six hundred sixty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1291 1650 1669 2475 2582 3338 3873 4950 5007 6455 7746 8345 10014 11619 12910 14201 15021 16690 18359 19365 23238 25035 28402 30042 32275 36718 38730 41725 42603 50070 55077 58095 64550 71005 75105 83450 85206 91795 96825 110154 116190 125175 127809 142010 150210 165231 183590 193650 213015 250350 255618 275385 290475 330462 355025 375525 426030 458975 550770 580950 639045 710050 751050 826155 917950 1065075 1278090 1376925 1652310 2130150 2154679 2753850 3195225 4130775 4309358 6390450 6464037 8261550 10773395 12928074 19392111 21546790 23701469 32320185 38784222 47402938 53866975 64640370 71104407 96960555 107733950 118507345 142208814 161600925 193921110 213313221 237014690 323201850 355522035 426626442 484802775 592536725 711044070 969605550 1066566105 1185073450 1777610175 2133132210 3555220350 5332830525 10665661050