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29445307524 = 223210913754773
BaseRepresentation
bin11011011011000100…
…111011110010000100
32211000002112121100100
4123123010323302010
5440300444320044
621305455044100
72061452661423
oct333304736204
984002477310
1029445307524
11115401213a6
125859210630
132a134a0ab9
1415d48d72ba
15b750aa869
hex6db13bc84

29445307524 has 72 divisors (see below), whose sum is σ = 75663708120. Its totient is φ = 9653893632.

The previous prime is 29445307519. The next prime is 29445307547. The reversal of 29445307524 is 42570354492.

29445307524 is a `hidden beast` number, since 2 + 9 + 44 + 530 + 75 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16222607424 + 13222700100 = 127368^2 + 114990^2 .

It is a super-2 number, since 2×294453075242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29445307524.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510202 + ... + 564974.

It is an arithmetic number, because the mean of its divisors is an integer number (1050884835).

Almost surely, 229445307524 is an apocalyptic number.

It is an amenable number.

29445307524 is an abundant number, since it is smaller than the sum of its proper divisors (46218400596).

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

29445307524 is a wasteful number, since it uses less digits than its factorization.

29445307524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55029 (or 55024 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 29445307524 in words is "twenty-nine billion, four hundred forty-five million, three hundred seven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 137 218 274 327 411 436 548 654 822 981 1233 1308 1644 1962 2466 3924 4932 14933 29866 44799 54773 59732 89598 109546 134397 164319 179196 219092 268794 328638 492957 537588 657276 985914 1971828 5970257 7503901 11940514 15007802 17910771 22511703 23881028 30015604 35821542 45023406 53732313 67535109 71643084 90046812 107464626 135070218 214929252 270140436 817925209 1635850418 2453775627 3271700836 4907551254 7361326881 9815102508 14722653762 29445307524