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94422935048 = 231326121372
BaseRepresentation
bin101011111110000001…
…0111010011000001000
3100000201111102002101112
41113330002322120020
53021334232410143
6111213255105452
76551613463631
oct1277402723010
9300644362345
1094422935048
1137054315712
1216372072288
138b9a255600
1447da4a6888
1526c97e5e18
hex15fc0ba608

94422935048 has 108 divisors (see below), whose sum is σ = 196336621845. Its totient is φ = 42552506880.

The previous prime is 94422935041. The next prime is 94422935053. The reversal of 94422935048 is 84053922449.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 58564968004 + 35857967044 = 242002^2 + 189362^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=217282.

It is a super-3 number, since 3×944229350483 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 94422934987 and 94422935005.

It is not an unprimeable number, because it can be changed into a prime (94422935041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 689218436 + ... + 689218572.

Almost surely, 294422935048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94422935048

94422935048 is an abundant number, since it is smaller than the sum of its proper divisors (101913686797).

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

94422935048 is a wasteful number, since it uses less digits than its factorization.

94422935048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

Multiplying 94422935048 by its sum of digits (50), we get a square (4721146752400 = 21728202).

The spelling of 94422935048 in words is "ninety-four billion, four hundred twenty-two million, nine hundred thirty-five thousand, forty-eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 137 169 244 274 338 488 548 676 793 1096 1352 1586 1781 3172 3562 3721 6344 7124 7442 8357 10309 14248 14884 16714 18769 20618 23153 29768 33428 37538 41236 46306 48373 66856 75076 82472 92612 96746 108641 150152 185224 193492 217282 243997 386984 434564 487994 509777 628849 869128 975988 1019554 1144909 1257698 1412333 1951976 2039108 2289818 2515396 2824666 3171961 4078216 4579636 5030792 5649332 6343922 6627101 9159272 11298664 12687844 13254202 14883817 25375688 26508404 29767634 53016808 59535268 69839449 86152313 119070536 139678898 172304626 193489621 279357796 344609252 386979242 558715592 689218504 773958484 907912837 1547916968 1815825674 3631651348 7263302696 11802866881 23605733762 47211467524 94422935048