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29040840432 = 2432223904361
BaseRepresentation
bin11011000010111110…
…000000111011110000
32202221220110112210200
4123002332000323300
5433433423343212
621201405555200
72045442033162
oct330276007360
982856415720
1029040840432
111135288527a
125765875b00
13297a757166
141596ccc932
15b4e8136dc
hex6c2f80ef0

29040840432 has 60 divisors (see below), whose sum is σ = 81638566464. Its totient is φ = 9636860160.

The previous prime is 29040840419. The next prime is 29040840443. The reversal of 29040840432 is 23404804092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420069 + ... + 484292.

Almost surely, 229040840432 is an apocalyptic number.

It is an amenable number.

29040840432 is an abundant number, since it is smaller than the sum of its proper divisors (52597726032).

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

29040840432 is a wasteful number, since it uses less digits than its factorization.

29040840432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904598 (or 904589 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 29040840432 in words is "twenty-nine billion, forty million, eight hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1784 2007 2676 3568 4014 5352 8028 10704 16056 32112 904361 1808722 2713083 3617444 5426166 7234888 8139249 10852332 14469776 16278498 21704664 32556996 43409328 65113992 130227984 201672503 403345006 605017509 806690012 1210035018 1613380024 1815052527 2420070036 3226760048 3630105054 4840140072 7260210108 9680280144 14520420216 29040840432