Search a number
-
+
36666611960 = 235112347127607
BaseRepresentation
bin100010001001100000…
…000001100011111000
310111122100200212202012
4202021200001203320
51100043123040320
624502220425052
72435430026216
oct421140014370
9114570625665
1036666611960
111460638a2a0
1271336a8188
1335c45b00c4
141abb9bdcb6
15e4903b4c5
hex8898018f8

36666611960 has 256 divisors, whose sum is σ = 96825507840. Its totient is φ = 12363563520.

The previous prime is 36666611897. The next prime is 36666611963. The reversal of 36666611960 is 6911666663.

It is a junction number, because it is equal to n+sod(n) for n = 36666611899 and 36666611908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36666611963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60405977 + ... + 60406583.

It is an arithmetic number, because the mean of its divisors is an integer number (378224640).

Almost surely, 236666611960 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 36666611960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48412753920).

36666611960 is an abundant number, since it is smaller than the sum of its proper divisors (60158895880).

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

36666611960 is a wasteful number, since it uses less digits than its factorization.

36666611960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 50.

The spelling of 36666611960 in words is "thirty-six billion, six hundred sixty-six million, six hundred eleven thousand, nine hundred sixty".