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1131604656660 = 223455771210609
BaseRepresentation
bin10000011101111000111…
…001001100001000010100
311000011212110210200020000
4100131320321030020110
5122020011243003120
62223504011011300
7144520134606462
oct20357071141024
94004773720200
101131604656660
113a6a02367355
12163390139b30
138292c74684a
143caaca99832
151e6803e8990
hex10778e4c214

1131604656660 has 120 divisors (see below), whose sum is σ = 3556040971560. Its totient is φ = 301238009856.

The previous prime is 1131604656619. The next prime is 1131604656673. The reversal of 1131604656660 is 666564061311.

It can be written as a sum of positive squares in 4 ways, for example, as 127624704516 + 1003979952144 = 357246^2 + 1001988^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 329436 + ... + 1540044.

It is an arithmetic number, because the mean of its divisors is an integer number (29633674763).

Almost surely, 21131604656660 is an apocalyptic number.

1131604656660 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 1131604656660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778020485780).

1131604656660 is an abundant number, since it is smaller than the sum of its proper divisors (2424436314900).

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

1131604656660 is a wasteful number, since it uses less digits than its factorization.

1131604656660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211207 (or 1211196 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1131604656660 in words is "one trillion, one hundred thirty-one billion, six hundred four million, six hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 577 810 1154 1620 1731 2308 2885 3462 5193 5770 6924 8655 10386 11540 15579 17310 20772 25965 31158 34620 46737 51930 62316 77895 93474 103860 155790 186948 233685 311580 467370 934740 1210609 2421218 3631827 4842436 6053045 7263654 10895481 12106090 14527308 18159135 21790962 24212180 32686443 36318270 43581924 54477405 65372886 72636540 98059329 108954810 130745772 163432215 196118658 217909620 326864430 392237316 490296645 653728860 698521393 980593290 1397042786 1961186580 2095564179 2794085572 3492606965 4191128358 6286692537 6985213930 8382256716 10477820895 12573385074 13970427860 18860077611 20955641790 25146770148 31433462685 37720155222 41911283580 56580232833 62866925370 75440310444 94300388055 113160465666 125733850740 188600776110 226320931332 282901164165 377201552220 565802328330 1131604656660