Search a number
-
+
96434450280 = 233257271141209
BaseRepresentation
bin101100111001111110…
…0001110111101101000
3100012220200102122112200
41121303330032331220
53034444204402110
6112145032540200
76652510205550
oct1316374167550
9305820378480
1096434450280
11379968078a3
1216833851660
13912ac020cc
14494b6bc160
1527961d06c0
hex1673f0ef68

96434450280 has 192 divisors, whose sum is σ = 359509363200. Its totient is φ = 21960668160.

The previous prime is 96434450221. The next prime is 96434450293. The reversal of 96434450280 is 8205443469.

96434450280 is a `hidden beast` number, since 9 + 64 + 3 + 4 + 4 + 502 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 612316 + ... + 753524.

It is an arithmetic number, because the mean of its divisors is an integer number (1872444600).

Almost surely, 296434450280 is an apocalyptic number.

96434450280 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 96434450280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179754681600).

96434450280 is an abundant number, since it is smaller than the sum of its proper divisors (263074912920).

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

96434450280 is a wasteful number, since it uses less digits than its factorization.

96434450280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141504 (or 141497 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 96434450280 in words is "ninety-six billion, four hundred thirty-four million, four hundred fifty thousand, two hundred eighty".