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110672105472 = 212323002173
BaseRepresentation
bin110011100010010010…
…0100101000000000000
3101120122221002110202100
41213010210211000000
53303124024333342
6122501515150400
710665362242425
oct1470444450000
9346587073670
10110672105472
1142a32577985
1219547a45400
13a589820756
1454dc579d4c
152d2b109e4c
hex19c4925000

110672105472 has 78 divisors (see below), whose sum is σ = 319680494042. Its totient is φ = 36890689536.

The previous prime is 110672105459. The next prime is 110672105549. The reversal of 110672105472 is 274501276011.

110672105472 is a `hidden beast` number, since 1 + 10 + 6 + 72 + 105 + 472 = 666.

110672105472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 79334608896 + 31337496576 = 281664^2 + 177024^2 .

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1464223 + ... + 1537950.

Almost surely, 2110672105472 is an apocalyptic number.

110672105472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110672105472 is an abundant number, since it is smaller than the sum of its proper divisors (209008388570).

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

110672105472 is an equidigital number, since it uses as much as digits as its factorization.

110672105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002203 (or 3002178 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 110672105472 in words is "one hundred ten billion, six hundred seventy-two million, one hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 3002173 6004346 9006519 12008692 18013038 24017384 27019557 36026076 48034768 54039114 72052152 96069536 108078228 144104304 192139072 216156456 288208608 384278144 432312912 576417216 768556288 864625824 1152834432 1537112576 1729251648 2305668864 3074225152 3458503296 4611337728 6148450304 6917006592 9222675456 12296900608 13834013184 18445350912 27668026368 36890701824 55336052736 110672105472