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11761443132 = 223171011095237
BaseRepresentation
bin10101111010000100…
…10110000100111100
31010100200020012211220
422331002112010330
5143041412140012
65223024313340
7564313421445
oct127502260474
933320205756
1011761443132
114a9603433a
122342a72850
1311558ca80a
147d80802cc
1548c84c08c
hex2bd09613c

11761443132 has 96 divisors (see below), whose sum is σ = 29620261440. Its totient is φ = 3619123200.

The previous prime is 11761443079. The next prime is 11761443151. The reversal of 11761443132 is 23134416711.

It is a junction number, because it is equal to n+sod(n) for n = 11761443093 and 11761443102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243218 + ... + 2248454.

It is an arithmetic number, because the mean of its divisors is an integer number (308544390).

Almost surely, 211761443132 is an apocalyptic number.

11761443132 is a gapful number since it is divisible by the number (12) 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 11761443132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810130720).

11761443132 is an abundant number, since it is smaller than the sum of its proper divisors (17858818308).

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

11761443132 is a wasteful number, since it uses less digits than its factorization.

11761443132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5469 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

Adding to 11761443132 its reverse (23134416711), we get a palindrome (34895859843).

The spelling of 11761443132 in words is "eleven billion, seven hundred sixty-one million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 109 202 204 218 303 327 404 436 606 654 1212 1308 1717 1853 3434 3706 5151 5237 5559 6868 7412 10302 10474 11009 11118 15711 20604 20948 22018 22236 31422 33027 44036 62844 66054 89029 132108 178058 187153 267087 356116 374306 528937 534174 561459 570833 748612 1057874 1068348 1122918 1141666 1586811 1712499 2115748 2245836 2283332 3173622 3424998 6347244 6849996 8991929 9704161 17983858 19408322 26975787 29112483 35967716 38816644 53951574 57654133 58224966 107903148 115308266 116449932 172962399 230616532 345924798 691849596 980120261 1960240522 2940360783 3920481044 5880721566 11761443132