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29374921947393 = 321119371303323923
BaseRepresentation
bin1101010110111011000011…
…10010011011100100000001
310212000012210211001122010200
412223131201302123210001
512322234320004304033
6142250353003115413
76121160643534201
oct653354162334401
9125005724048120
1029374921947393
1193a591a700450
123365081b12b69
13135107404a679
14737a7a642401
1535e1984bc013
hex1ab761c9b901

29374921947393 has 96 divisors (see below), whose sum is σ = 50079375989760. Its totient is φ = 16397501742720.

The previous prime is 29374921947361. The next prime is 29374921947451. The reversal of 29374921947393 is 39374912947392.

It is a happy number.

29374921947393 is a `hidden beast` number, since 2 + 9 + 3 + 7 + 49 + 2 + 194 + 7 + 393 = 666.

It is not a de Polignac number, because 29374921947393 - 25 = 29374921947361 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29374921947313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90522930 + ... + 90846852.

It is an arithmetic number, because the mean of its divisors is an integer number (521660166560).

Almost surely, 229374921947393 is an apocalyptic number.

It is an amenable number.

29374921947393 is a deficient number, since it is larger than the sum of its proper divisors (20704454042367).

29374921947393 is a wasteful number, since it uses less digits than its factorization.

29374921947393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325299 (or 325296 counting only the distinct ones).

The product of its digits is 555532992, while the sum is 72.

Subtracting 29374921947393 from its reverse (39374912947392), we obtain a palindrome (9999990999999).

The spelling of 29374921947393 in words is "twenty-nine trillion, three hundred seventy-four billion, nine hundred twenty-one million, nine hundred forty-seven thousand, three hundred ninety-three".

Divisors: 1 3 9 11 19 33 37 57 99 111 171 209 333 407 627 703 1221 1303 1881 2109 3663 3909 6327 7733 11727 14333 23199 24757 42999 48211 69597 74271 128997 144633 222813 272327 323923 433899 530321 816981 916009 971769 1590963 2450943 2748027 2915307 3563153 4772889 6154537 8244081 10076099 10689459 11985151 18463611 30228297 32068377 35955453 55390833 67699907 90684891 107866359 131836661 203099721 227717869 395509983 422071669 609299163 683153607 1186529949 1266215007 2049460821 2504896559 3798645021 4642788359 7514689677 8019361711 13928365077 15616651753 22544069031 24058085133 41785095231 46849955259 72174255399 88212978821 140549865777 171783169283 264638936463 296716383307 515349507849 793916809389 890149149921 1546048523547 2670447449763 3263880216377 9791640649131 29374921947393