Search a number
-
+
29883528384 = 2632910750159
BaseRepresentation
bin11011110101001100…
…100111010011000000
32212010122010112100120
4123311030213103000
5442200140402014
621421151420240
72105353541313
oct336514472300
985118115316
1029883528384
11117455221a6
12595bb24680
132a83205198
141636baa97a
15b9d7bdba9
hex6f53274c0

29883528384 has 112 divisors (see below), whose sum is σ = 82559347200. Its totient is φ = 9527612416.

The previous prime is 29883528383. The next prime is 29883528401. The reversal of 29883528384 is 48382538892.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29883528383) 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 15 ways as a sum of consecutive naturals, for example, 570697 + ... + 620855.

Almost surely, 229883528384 is an apocalyptic number.

29883528384 is a gapful number since it is divisible by the number (24) 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 29883528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41279673600).

29883528384 is an abundant number, since it is smaller than the sum of its proper divisors (52675818816).

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

29883528384 is a wasteful number, since it uses less digits than its factorization.

29883528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50310 (or 50300 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 60.

The spelling of 29883528384 in words is "twenty-nine billion, eight hundred eighty-three million, five hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 107 116 174 192 214 232 321 348 428 464 642 696 856 928 1284 1392 1712 1856 2568 2784 3103 3424 5136 5568 6206 6848 9309 10272 12412 18618 20544 24824 37236 49648 50159 74472 99296 100318 148944 150477 198592 200636 297888 300954 401272 595776 601908 802544 1203816 1454611 1605088 2407632 2909222 3210176 4363833 4815264 5367013 5818444 8727666 9630528 10734026 11636888 16101039 17455332 21468052 23273776 32202078 34910664 42936104 46547552 64404156 69821328 85872208 93095104 128808312 139642656 155643377 171744416 257616624 279285312 311286754 343488832 466930131 515233248 622573508 933860262 1030466496 1245147016 1867720524 2490294032 3735441048 4980588064 7470882096 9961176128 14941764192 29883528384