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29173066704 = 2433263433593
BaseRepresentation
bin11011001010110110…
…011010101111010000
32210022010021100011000
4123022312122233100
5434221301113304
621222452022000
72051635655415
oct331266325720
983263240130
1029173066704
1111410487891
1257a2001900
13299bc72062
1415aa6ac10c
15b5b231939
hex6cad9abd0

29173066704 has 160 divisors (see below), whose sum is σ = 84392098560. Its totient is φ = 9648709632.

The previous prime is 29173066691. The next prime is 29173066729. The reversal of 29173066704 is 40766037192.

It is a self number, because there is not a number n which added to its sum of digits gives 29173066704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49195432 + ... + 49196024.

It is an arithmetic number, because the mean of its divisors is an integer number (527450616).

Almost surely, 229173066704 is an apocalyptic number.

29173066704 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 29173066704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42196049280).

29173066704 is an abundant number, since it is smaller than the sum of its proper divisors (55219031856).

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

29173066704 is a wasteful number, since it uses less digits than its factorization.

29173066704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 29173066704 in words is "twenty-nine billion, one hundred seventy-three million, sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 263 432 433 526 593 789 866 1052 1186 1299 1578 1732 1779 2104 2367 2372 2598 3156 3464 3558 3897 4208 4734 4744 5196 5337 6312 6928 7101 7116 7794 9468 9488 10392 10674 11691 12624 14202 14232 15588 16011 18936 20784 21348 23382 28404 28464 31176 32022 37872 42696 46764 56808 62352 64044 85392 93528 113616 113879 128088 155959 187056 227758 256176 256769 311918 341637 455516 467877 513538 623836 683274 770307 911032 935754 1024911 1027076 1247672 1366548 1403631 1540614 1822064 1871508 2049822 2054152 2310921 2495344 2733096 2807262 3074733 3081228 3743016 4099644 4108304 4210893 4621842 5466192 5614524 6149466 6162456 6932763 7486032 8199288 8421786 9243684 11229048 12298932 12324912 13865526 16398576 16843572 18487368 22458096 24597864 27731052 33687144 36974736 49195728 55462104 67374288 67530247 110924208 135060494 202590741 270120988 405181482 540241976 607772223 810362964 1080483952 1215544446 1620725928 1823316669 2431088892 3241451856 3646633338 4862177784 7293266676 9724355568 14586533352 29173066704