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11655256020 = 22352913151133
BaseRepresentation
bin10101101101011010…
…10001011111010100
31010002021102100111220
422312231101133110
5142332221143040
65204312330340
7561554020152
oct126655213724
933067370456
1011655256020
114a410a73a1
1223133a39b0
1311398cbac5
147c7d1c3d2
154833742d0
hex2b6b517d4

11655256020 has 96 divisors (see below), whose sum is σ = 34018427520. Its totient is φ = 2977927680.

The previous prime is 11655255979. The next prime is 11655256021. The reversal of 11655256020 is 2065255611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11655256021) 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 31 ways as a sum of consecutive naturals, for example, 202374 + ... + 253506.

It is an arithmetic number, because the mean of its divisors is an integer number (354358620).

Almost surely, 211655256020 is an apocalyptic number.

11655256020 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 11655256020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17009213760).

11655256020 is an abundant number, since it is smaller than the sum of its proper divisors (22363171500).

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

11655256020 is a wasteful number, since it uses less digits than its factorization.

11655256020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51305 (or 51303 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 11655256020 in words is "eleven billion, six hundred fifty-five million, two hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 131 145 174 262 290 348 393 435 524 580 655 786 870 1310 1572 1740 1965 2620 3799 3930 7598 7860 11397 15196 18995 22794 37990 45588 51133 56985 75980 102266 113970 153399 204532 227940 255665 306798 511330 613596 766995 1022660 1482857 1533990 2965714 3067980 4448571 5931428 6698423 7414285 8897142 13396846 14828570 17794284 20095269 22242855 26793692 29657140 33492115 40190538 44485710 66984230 80381076 88971420 100476345 133968460 194254267 200952690 388508534 401905380 582762801 777017068 971271335 1165525602 1942542670 2331051204 2913814005 3885085340 5827628010 11655256020