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29468120832 = 283219673157
BaseRepresentation
bin11011011100011011…
…111101011100000000
32211001200110122022200
4123130123331130000
5440322314331312
621312032033200
72062150615503
oct333433753400
984050418280
1029468120832
1111551a93377
125864992800
132a1812a8b7
1415d795513a
15b770b50dc
hex6dc6fd700

29468120832 has 108 divisors (see below), whose sum is σ = 89435771880. Its totient is φ = 9305708544.

The previous prime is 29468120821. The next prime is 29468120879. The reversal of 29468120832 is 23802186492.

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 11 ways as a sum of consecutive naturals, for example, 292803 + ... + 380354.

Almost surely, 229468120832 is an apocalyptic number.

It is an amenable number.

29468120832 is an abundant number, since it is smaller than the sum of its proper divisors (59967651048).

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

29468120832 is a wasteful number, since it uses less digits than its factorization.

29468120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673198 (or 673181 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 294681 and 20832, that added together give a palindrome (315513).

The spelling of 29468120832 in words is "twenty-nine billion, four hundred sixty-eight million, one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 673157 1346314 2019471 2692628 4038942 5385256 6058413 8077884 10770512 12116826 12789983 16155768 21541024 24233652 25579966 32311536 38369949 43082048 48467304 51159932 64623072 76739898 86164096 96934608 102319864 115109847 129246144 153479796 172328192 193869216 204639728 230219694 258492288 306959592 387738432 409279456 460439388 516984576 613919184 775476864 818558912 920878776 1227838368 1550953728 1637117824 1841757552 2455676736 3274235648 3683515104 4911353472 7367030208 9822706944 14734060416 29468120832