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29041618896 = 24323159910861
BaseRepresentation
bin11011000011000000…
…111110111111010000
32202221221221002122200
4123003000332333100
5433434123301041
621201434403200
72045451454563
oct330300767720
982857832580
1029041618896
1111353267134
125765b90500
13297a96a5a4
1415970524da
15b4e9191b6
hex6c303efd0

29041618896 has 120 divisors (see below), whose sum is σ = 84045811200. Its totient is φ = 9351763200.

The previous prime is 29041618871. The next prime is 29041618897. The reversal of 29041618896 is 69881614092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29041618897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2668506 + ... + 2679366.

It is an arithmetic number, because the mean of its divisors is an integer number (700381760).

Almost surely, 229041618896 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 29041618896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42022905600).

29041618896 is an abundant number, since it is smaller than the sum of its proper divisors (55004192304).

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

29041618896 is a wasteful number, since it uses less digits than its factorization.

29041618896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11505 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 29041618896 in words is "twenty-nine billion, forty-one million, six hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 599 744 1116 1198 1488 1797 2232 2396 3594 4464 4792 5391 7188 9584 10782 10861 14376 18569 21564 21722 28752 32583 37138 43128 43444 55707 65166 74276 86256 86888 97749 111414 130332 148552 167121 173776 195498 222828 260664 297104 334242 336691 390996 445656 521328 668484 673382 781992 891312 1010073 1336968 1346764 1563984 2020146 2673936 2693528 3030219 4040292 5387056 6060438 6505739 8080584 12120876 13011478 16161168 19517217 24241752 26022956 39034434 48483504 52045912 58551651 78068868 104091824 117103302 156137736 201677909 234206604 312275472 403355818 468413208 605033727 806711636 936826416 1210067454 1613423272 1815101181 2420134908 3226846544 3630202362 4840269816 7260404724 9680539632 14520809448 29041618896