Search a number
-
+
11328127132 = 2272157547673
BaseRepresentation
bin10101000110011010…
…11000000010011100
31002020110212111001011
422203031120002130
5141200000032012
65112025025004
7550502330500
oct124315300234
932213774034
1011328127132
114893483643
122241925164
1310b6bc2b0a
147966c6300
154647a71a7
hex2a335809c

11328127132 has 72 divisors (see below), whose sum is σ = 23284688784. Its totient is φ = 4808014848.

The previous prime is 11328127093. The next prime is 11328127147. The reversal of 11328127132 is 23172182311.

It is a junction number, because it is equal to n+sod(n) for n = 11328127094 and 11328127103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16831948 + ... + 16832620.

Almost surely, 211328127132 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 11328127132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642344392).

11328127132 is an abundant number, since it is smaller than the sum of its proper divisors (11956561652).

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

11328127132 is a wasteful number, since it uses less digits than its factorization.

11328127132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1386 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The spelling of 11328127132 in words is "eleven billion, three hundred twenty-eight million, one hundred twenty-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 547 628 673 1094 1099 1346 2188 2198 2692 3829 4396 4711 7658 7693 9422 15316 15386 18844 26803 30772 32977 53606 65954 85879 105661 107212 131908 171758 211322 343516 368131 422644 601153 736262 739627 1202306 1472524 1479254 2404612 2576917 2958508 4208071 5153834 5177389 8416142 10307668 10354778 16832284 18038419 20709556 36076838 57796567 72153676 115593134 231186268 404575969 809151938 1618303876 2832031783 5664063566 11328127132