Search a number
-
+
897937372080 = 243257317977211
BaseRepresentation
bin11010001000100010011…
…11001111001110110000
310011211201210120201122200
431010101033033032300
5104202433431401310
61524301242103200
7121605503505030
oct15042117171660
93154653521580
10897937372080
113168a4267a21
121260394aab00
13668a1354908
14316634a78c0
15185563e79c0
hexd1113cf3b0

897937372080 has 480 divisors, whose sum is σ = 3562499985408. Its totient is φ = 198345369600.

The previous prime is 897937372069. The next prime is 897937372093. The reversal of 897937372080 is 80273739798.

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

It is a junction number, because it is equal to n+sod(n) for n = 897937371999 and 897937372017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124519675 + ... + 124526885.

Almost surely, 2897937372080 is an apocalyptic number.

897937372080 is a gapful number since it is divisible by the number (80) 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 897937372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781249992704).

897937372080 is an abundant number, since it is smaller than the sum of its proper divisors (2664562613328).

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

897937372080 is a wasteful number, since it uses less digits than its factorization.

897937372080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 897937372080 in words is "eight hundred ninety-seven billion, nine hundred thirty-seven million, three hundred seventy-two thousand, eighty".