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43061601132 = 22331146777617
BaseRepresentation
bin101000000110101010…
…111110001101101100
311010011000222222201000
4220012222332031230
51201142232214012
631440543320300
73053051366424
oct500652761554
9133130888630
1043061601132
1117298173310
1284192b0090
1340a3454774
14212704b484
1511c0697ddc
hexa06abe36c

43061601132 has 96 divisors (see below), whose sum is σ = 122052752640. Its totient is φ = 13020860160.

The previous prime is 43061601101. The next prime is 43061601151. The reversal of 43061601132 is 23110616034.

43061601132 is a `hidden beast` number, since 4 + 3 + 0 + 616 + 0 + 11 + 32 = 666.

43061601132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 43061601096 and 43061601105.

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, 515988 + ... + 593604.

It is an arithmetic number, because the mean of its divisors is an integer number (1271382840).

Almost surely, 243061601132 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 43061601132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61026376320).

43061601132 is an abundant number, since it is smaller than the sum of its proper divisors (78991151508).

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

43061601132 is a wasteful number, since it uses less digits than its factorization.

43061601132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78108 (or 78100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 43061601132 in words is "forty-three billion, sixty-one million, six hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 467 594 934 1188 1401 1868 2802 4203 5137 5604 8406 10274 12609 15411 16812 20548 25218 30822 46233 50436 61644 77617 92466 138699 155234 184932 232851 277398 310468 465702 554796 698553 853787 931404 1397106 1707574 2095659 2561361 2794212 3415148 4191318 5122722 7684083 8382636 10245444 15368166 23052249 30736332 36247139 46104498 72494278 92208996 108741417 144988556 217482834 326224251 398718529 434965668 652448502 797437058 978672753 1196155587 1304897004 1594874116 1957345506 2392311174 3588466761 3914691012 4784622348 7176933522 10765400283 14353867044 21530800566 43061601132