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29284787329 = 7223318310099
BaseRepresentation
bin11011010001100000…
…100110010010000001
32210120220111100000221
4123101200212102001
5434433401143304
621241522343041
72054463404500
oct332140462201
983526440027
1029284787329
1111468554186
1258134baa81
1329b915a635
1415bb470837
15b65e4e054
hex6d1826481

29284787329 has 48 divisors (see below), whose sum is σ = 37139558400. Its totient is φ = 22953157920.

The previous prime is 29284787317. The next prime is 29284787347. The reversal of 29284787329 is 92378748292.

It is not a de Polignac number, because 29284787329 - 27 = 29284787201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29284787029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2894722 + ... + 2904820.

It is an arithmetic number, because the mean of its divisors is an integer number (773740800).

Almost surely, 229284787329 is an apocalyptic number.

It is an amenable number.

29284787329 is a deficient number, since it is larger than the sum of its proper divisors (7854771071).

29284787329 is a wasteful number, since it uses less digits than its factorization.

29284787329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10243 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 61.

The spelling of 29284787329 in words is "twenty-nine billion, two hundred eighty-four million, seven hundred eighty-seven thousand, three hundred twenty-nine".

Divisors: 1 7 23 31 49 83 161 217 581 713 1127 1519 1909 2573 4067 4991 10099 13363 18011 34937 59179 70693 93541 126077 232277 313069 414253 494851 838217 1625939 2191483 2899771 5867519 7200587 11381573 15340381 19278991 25984727 41072633 50404109 134952937 181893089 352828763 597648721 944670559 1273251623 4183541047 29284787329