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29399205184 = 262919382073
BaseRepresentation
bin11011011000010101…
…000100010101000000
32210212212210100211021
4123120111010111000
5440202144031214
621301130555224
72060353056316
oct333025042500
983785710737
1029399205184
11115170a2a98
125845898b14
132a06a7b7cb
1415cc7360b6
15b71000924
hex6d8544540

29399205184 has 56 divisors (see below), whose sum is σ = 60664176360. Its totient is φ = 14119010304.

The previous prime is 29399205179. The next prime is 29399205193. The reversal of 29399205184 is 48150299392.

It can be written as a sum of positive squares in 4 ways, for example, as 270273600 + 29128931584 = 16440^2 + 170672^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 317172 + ... + 399244.

Almost surely, 229399205184 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 29399205184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30332088180).

29399205184 is an abundant number, since it is smaller than the sum of its proper divisors (31264971176).

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

29399205184 is a wasteful number, since it uses less digits than its factorization.

29399205184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82307 (or 82297 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 29399205184 in words is "twenty-nine billion, three hundred ninety-nine million, two hundred five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 193 232 386 464 772 928 1544 1856 3088 5597 6176 11194 12352 22388 44776 82073 89552 164146 179104 328292 358208 656584 1313168 2380117 2626336 4760234 5252672 9520468 15840089 19040936 31680178 38081872 63360356 76163744 126720712 152327488 253441424 459362581 506882848 918725162 1013765696 1837450324 3674900648 7349801296 14699602592 29399205184