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94435748416 = 2610723592
BaseRepresentation
bin101011111110011001…
…1110010101001000000
3100000202101112002000201
41113330303302221000
53021401022422131
6111214433454544
76552130421452
oct1277463625100
9300671462021
1094435748416
1137060577579
1216376411454
138b9cac0899
1447dc0802d2
1526ca9c7761
hex15fccf2a40

94435748416 has 63 divisors (see below), whose sum is σ = 189692056099. Its totient is φ = 46646288768.

The previous prime is 94435748411. The next prime is 94435748423. The reversal of 94435748416 is 61484753449.

It is a happy number.

The square root of 94435748416 is 307304.

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

It is a super-2 number, since 2×944357484162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94435748411) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 263052045 + ... + 263052403.

Almost surely, 294435748416 is an apocalyptic number.

94435748416 is the 307304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94435748416

94435748416 is an abundant number, since it is smaller than the sum of its proper divisors (95256307683).

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

94435748416 is an frugal number, since it uses more digits than its factorization.

94435748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 468 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 94435748416 in words is "ninety-four billion, four hundred thirty-five million, seven hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 107 214 359 428 718 856 1436 1712 2872 3424 5744 6848 11449 11488 22898 22976 38413 45796 76826 91592 128881 153652 183184 257762 307304 366368 515524 614608 732736 1031048 1229216 2062096 2458432 4110191 4124192 8220382 8248384 13790267 16440764 27580534 32881528 55161068 65763056 110322136 131526112 220644272 263052224 441288544 882577088 1475558569 2951117138 5902234276 11804468552 23608937104 47217874208 94435748416