Search a number
-
+
36473385312 = 25327132107053
BaseRepresentation
bin100001111101111110…
…111011000101100000
310111010220002221121200
4201331332323011200
51044144141312222
624431115121200
72430562442220
oct417576730540
9114126087550
1036473385312
1114517303251
12709aa43200
133593557b00
141aa0082080
15e370bdeac
hex87dfbb160

36473385312 has 216 divisors, whose sum is σ = 128359458864. Its totient is φ = 9619264512.

The previous prime is 36473385287. The next prime is 36473385323. The reversal of 36473385312 is 21358337463.

It is a super-2 number, since 2×364733853122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287178 + ... + 394230.

It is an arithmetic number, because the mean of its divisors is an integer number (594256754).

Almost surely, 236473385312 is an apocalyptic number.

36473385312 is a gapful number since it is divisible by the number (32) 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 36473385312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64179729432).

36473385312 is an abundant number, since it is smaller than the sum of its proper divisors (91886073552).

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

36473385312 is a wasteful number, since it uses less digits than its factorization.

36473385312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107102 (or 107078 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 36473385312 in words is "thirty-six billion, four hundred seventy-three million, three hundred eighty-five thousand, three hundred twelve".