Search a number
-
+
80059348051704 = 23347438913733359
BaseRepresentation
bin10010001101000001000101…
…000000000110011011111000
3101111110121011121200102110000
4102031001011000012123320
540443143021100123304
6442134431243153000
722602045164205210
oct2215010500063370
9344417147612400
1080059348051704
1123566a8491785a
128b90055815760
133589744505688
1415aac70a1b240
1593c7d9d0b939
hex48d0450066f8

80059348051704 has 640 divisors, whose sum is σ = 265453106688000. Its totient is φ = 22068446754816.

The previous prime is 80059348051679. The next prime is 80059348051717. The reversal of 80059348051704 is 40715084395008.

80059348051704 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 93 + 480 + 5 + 1 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23834278777 + ... + 23834282135.

It is an arithmetic number, because the mean of its divisors is an integer number (414770479200).

Almost surely, 280059348051704 is an apocalyptic number.

80059348051704 is a gapful number since it is divisible by the number (84) 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 80059348051704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132726553344000).

80059348051704 is an abundant number, since it is smaller than the sum of its proper divisors (185393758636296).

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

80059348051704 is a wasteful number, since it uses less digits than its factorization.

80059348051704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 80059348051704 in words is "eighty trillion, fifty-nine billion, three hundred forty-eight million, fifty-one thousand, seven hundred four".