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11611443272 = 23111397110453
BaseRepresentation
bin10101101000001100…
…01001000001001000
31002222012222102201112
422310012021001020
5142240012141042
65200105305452
7560512432202
oct126406110110
932865872645
1011611443272
114a193a2210
122300795288
1311307cb9c0
147c2195772
1547e5bc982
hex2b4189048

11611443272 has 64 divisors (see below), whose sum is σ = 25606445760. Its totient is φ = 4866451200.

The previous prime is 11611443251. The next prime is 11611443289. The reversal of 11611443272 is 27234411611.

It is a super-2 number, since 2×116114432722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105598 + ... + 1116050.

It is an arithmetic number, because the mean of its divisors is an integer number (400100715).

Almost surely, 211611443272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11611443272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803222880).

11611443272 is an abundant number, since it is smaller than the sum of its proper divisors (13995002488).

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

11611443272 is a wasteful number, since it uses less digits than its factorization.

11611443272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11450 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

Adding to 11611443272 its reverse (27234411611), we get a palindrome (38845854883).

The spelling of 11611443272 in words is "eleven billion, six hundred eleven million, four hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 971 1144 1942 3884 7768 10453 10681 12623 20906 21362 25246 41812 42724 50492 83624 85448 100984 114983 135889 138853 229966 271778 277706 459932 543556 555412 919864 1087112 1110824 1494779 2989558 5979116 10149863 11958232 20299726 40599452 81198904 111648493 131948219 223296986 263896438 446593972 527792876 893187944 1055585752 1451430409 2902860818 5805721636 11611443272