Search a number
-
+
368494733376 = 263971129131
BaseRepresentation
bin1010101110010111111…
…11110110100001000000
31022020011000212000000000
411113023333312201000
522014134122432001
6441141213000000
735423433360510
oct5271377664100
91266130760000
10368494733376
11132306741270
125b500183000
132899745ba43
1413b99c83840
1598baa84a86
hex55cbff6840

368494733376 has 1120 divisors, whose sum is σ = 1425428167680. Its totient is φ = 91707033600.

The previous prime is 368494733371. The next prime is 368494733377. The reversal of 368494733376 is 673337494863.

It is a happy number.

368494733376 is a `hidden beast` number, since 3 + 6 + 8 + 494 + 73 + 3 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368494733371) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2812936831 + ... + 2812936961.

Almost surely, 2368494733376 is an apocalyptic number.

368494733376 is a gapful number since it is divisible by the number (36) 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 368494733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712714083840).

368494733376 is an abundant number, since it is smaller than the sum of its proper divisors (1056933434304).

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

368494733376 is an equidigital number, since it uses as much as digits as its factorization.

368494733376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 63.

It can be divided in two parts, 368494 and 733376, that added together give a triangular number (1101870 = T1484).

The spelling of 368494733376 in words is "three hundred sixty-eight billion, four hundred ninety-four million, seven hundred thirty-three thousand, three hundred seventy-six".