Search a number
-
+
36478073856 = 2103719237127
BaseRepresentation
bin100001111110010000…
…110011110000000000
310111011012221011002110
4201332100303300000
51044201341330411
624431403415320
72430650340360
oct417620636000
9114135834073
1036478073856
1114519a15884
1270a0524540
133594509bb3
141aa09429a0
15e376e82a6
hex87e433c00

36478073856 has 528 divisors, whose sum is σ = 121390964736. Its totient is φ = 9531260928.

The previous prime is 36478073851. The next prime is 36478073887. The reversal of 36478073856 is 65837087463.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 36478073796 and 36478073805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36478073851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287228865 + ... + 287228991.

Almost surely, 236478073856 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 36478073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60695482368).

36478073856 is an abundant number, since it is smaller than the sum of its proper divisors (84912890880).

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

36478073856 is a wasteful number, since it uses less digits than its factorization.

36478073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 36478073856 in words is "thirty-six billion, four hundred seventy-eight million, seventy-three thousand, eight hundred fifty-six".