Search a number
-
+
97054433280 = 21335572199
BaseRepresentation
bin101101001100011100…
…1010010000000000000
3100021111220001001100000
41122120321102000000
53042231413331110
6112330341200000
710004046033300
oct1323071220000
9307456031300
1097054433280
1138184774242
1216987400000
1391c94a645c
1449a9b87600
1527d08491c0
hex1698e52000

97054433280 has 1008 divisors, whose sum is σ = 407897380800. Its totient is φ = 22072393728.

The previous prime is 97054433261. The next prime is 97054433317. The reversal of 97054433280 is 8233445079.

97054433280 is a `hidden beast` number, since 9 + 70 + 544 + 3 + 32 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487710621 + ... + 487710819.

It is an arithmetic number, because the mean of its divisors is an integer number (404660100).

Almost surely, 297054433280 is an apocalyptic number.

97054433280 is a gapful number since it is divisible by the number (90) 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 97054433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203948690400).

97054433280 is an abundant number, since it is smaller than the sum of its proper divisors (310842947520).

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

97054433280 is an equidigital number, since it uses as much as digits as its factorization.

97054433280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 97054433280 in words is "ninety-seven billion, fifty-four million, four hundred thirty-three thousand, two hundred eighty".