Search a number
-
+
36203054040 = 23325374875581
BaseRepresentation
bin100001101101110111…
…101100001111011000
310110110001102200211100
4201231313230033120
51043120440212130
624344221031400
72421100611336
oct415567541730
9113401380740
1036203054040
111439875337a
1270243b5560
13354c54728a
141a761d2b56
15e1d4c0c60
hex86ddec3d8

36203054040 has 192 divisors, whose sum is σ = 121109751360. Its totient is φ = 9372257280.

The previous prime is 36203054039. The next prime is 36203054059. The reversal of 36203054040 is 4045030263.

36203054040 is a `hidden beast` number, since 3 + 620 + 30 + 5 + 4 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×362030540402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36203053995 and 36203054013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6484050 + ... + 6489630.

It is an arithmetic number, because the mean of its divisors is an integer number (630779955).

Almost surely, 236203054040 is an apocalyptic number.

36203054040 is a gapful number since it is divisible by the number (30) 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 36203054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60554875680).

36203054040 is an abundant number, since it is smaller than the sum of its proper divisors (84906697320).

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

36203054040 is a wasteful number, since it uses less digits than its factorization.

36203054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 36203054040 in words is "thirty-six billion, two hundred three million, fifty-four thousand, forty".