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166011431352 = 233134871092583
BaseRepresentation
bin1001101010011100001…
…1010110100110111000
3120212111121210111112120
42122213003112212320
510204442411300402
6204133053041240
714664626612064
oct2324703264670
9525447714476
10166011431352
1164450141548
1228210a86220
13128688088b0
14806c05aaa4
1544b95d23bc
hex26a70d69b8

166011431352 has 64 divisors (see below), whose sum is σ = 447872033280. Its totient is φ = 50975505792.

The previous prime is 166011431347. The next prime is 166011431363. The reversal of 166011431352 is 253134110661.

It is a happy number.

166011431352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 394348 + ... + 698235.

It is an arithmetic number, because the mean of its divisors is an integer number (6998000520).

Almost surely, 2166011431352 is an apocalyptic number.

166011431352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166011431352 is an abundant number, since it is smaller than the sum of its proper divisors (281860601928).

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

166011431352 is a wasteful number, since it uses less digits than its factorization.

166011431352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093092 (or 1093088 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 166011431352 in words is "one hundred sixty-six billion, eleven million, four hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 487 974 1461 1948 2922 3896 5844 6331 11688 12662 18993 25324 37986 50648 75972 151944 1092583 2185166 3277749 4370332 6555498 8740664 13110996 14203579 26221992 28407158 42610737 56814316 85221474 113628632 170442948 340885896 532087921 1064175842 1596263763 2128351684 3192527526 4256703368 6385055052 6917142973 12770110104 13834285946 20751428919 27668571892 41502857838 55337143784 83005715676 166011431352