Search a number
-
+
96940050480 = 2433571319101257
BaseRepresentation
bin101101001001000010…
…0111100100000110000
3100021012220210210122000
41122102010330200300
53042013123103410
6112311133414000
710001156555610
oct1322204744060
9307186723560
1096940050480
11381261497a9
121695503a300
1391ab898220
1449988d0a40
1527c57a2dc0
hex169213c830

96940050480 has 1280 divisors, whose sum is σ = 438571929600. Its totient is φ = 19110297600.

The previous prime is 96940050479. The next prime is 96940050491. The reversal of 96940050480 is 8405004969.

It is a happy number.

96940050480 is a `hidden beast` number, since 9 + 69 + 4 + 0 + 0 + 504 + 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 255 ways as a sum of consecutive naturals, for example, 377198512 + ... + 377198768.

It is an arithmetic number, because the mean of its divisors is an integer number (342634320).

Almost surely, 296940050480 is an apocalyptic number.

96940050480 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 96940050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219285964800).

96940050480 is an abundant number, since it is smaller than the sum of its proper divisors (341631879120).

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

96940050480 is a wasteful number, since it uses less digits than its factorization.

96940050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 96940050480 in words is "ninety-six billion, nine hundred forty million, fifty thousand, four hundred eighty".