Search a number
-
+
94738102222500 = 2232541121723472
BaseRepresentation
bin10101100010100111101110…
…111011011111111010100100
3110102102212121020022211022100
4111202213232323133322210
544404142113132110000
6533254025555532100
725645413330043302
oct2542475673377244
9412385536284270
1094738102222500
1128206226984100
12a760a668ba030
1340b29c309c589
1419574c4849272
15ae454e9a6a00
hex5629eeedfea4

94738102222500 has 1215 divisors, whose sum is σ = 350424738420757. Its totient is φ = 21553530240000.

The previous prime is 94738102222481. The next prime is 94738102222507. The reversal of 94738102222500 is 522220183749.

The square root of 94738102222500 is 9733350.

It is a perfect power (a square), and thus also a powerful number.

94738102222500 is a `hidden beast` number, since 9 + 4 + 7 + 38 + 102 + 2 + 2 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 46265761987236 + 48472340235264 = 6801894^2 + 6962208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (94738102222507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 273020467327 + ... + 273020467673.

Almost surely, 294738102222500 is an apocalyptic number.

94738102222500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

94738102222500 is the 9733350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94738102222500

94738102222500 is an abundant number, since it is smaller than the sum of its proper divisors (255686636198257).

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

94738102222500 is a wasteful number, since it uses less digits than its factorization.

94738102222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 94738102222500 in words is "ninety-four trillion, seven hundred thirty-eight billion, one hundred two million, two hundred twenty-two thousand, five hundred".