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29058021184 = 261941718209
BaseRepresentation
bin11011000011111111…
…100011011101000000
32210000002210102100211
4123003333203131000
5434002323134214
621203222123504
72046041050633
oct330377433500
983002712324
1029058021184
111136154a445
12576b580594
13298119129a
1415992c1c1a
15b510a90c4
hex6c3fe3740

29058021184 has 112 divisors (see below), whose sum is σ = 63060681600. Its totient is φ = 13237862400.

The previous prime is 29058021173. The next prime is 29058021191. The reversal of 29058021184 is 48112085092.

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 15 ways as a sum of consecutive naturals, for example, 3535672 + ... + 3543880.

It is an arithmetic number, because the mean of its divisors is an integer number (563041800).

Almost surely, 229058021184 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 29058021184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31530340800).

29058021184 is an abundant number, since it is smaller than the sum of its proper divisors (34002660416).

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

29058021184 is a wasteful number, since it uses less digits than its factorization.

29058021184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8352 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 29058021184 in words is "twenty-nine billion, fifty-eight million, twenty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 71 76 82 142 152 164 284 304 328 568 608 656 779 1136 1216 1312 1349 1558 2272 2624 2698 2911 3116 4544 5396 5822 6232 8209 10792 11644 12464 16418 21584 23288 24928 32836 43168 46576 49856 55309 65672 86336 93152 110618 131344 155971 186304 221236 262688 311942 336569 442472 525376 582839 623884 673138 884944 1165678 1247768 1346276 1769888 2331356 2495536 2692552 3539776 4662712 4991072 5385104 6394811 9325424 9982144 10770208 11073941 12789622 18650848 21540416 22147882 23896399 25579244 37301696 44295764 47792798 51158488 88591528 95585596 102316976 177183056 191171192 204633952 354366112 382342384 409267904 454031581 708732224 764684768 908063162 1529369536 1816126324 3632252648 7264505296 14529010592 29058021184