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168405957 = 3294719759
BaseRepresentation
bin10100000100110…
…10101111000101
3102201212220112200
422002122233011
5321102442312
624413305113
74113266316
oct1202325705
9381786480
10168405957
1187073985
1248495199
1328b748c5
141851a60d
15ebb80dc
hexa09abc5

168405957 has 12 divisors (see below), whose sum is σ = 243522240. Its totient is φ = 112146408.

The previous prime is 168405953. The next prime is 168405967. The reversal of 168405957 is 759504861.

168405957 is a `hidden beast` number, since 16 + 8 + 40 + 595 + 7 = 666.

It is not a de Polignac number, because 168405957 - 22 = 168405953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168405953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357 + ... + 18402.

It is an arithmetic number, because the mean of its divisors is an integer number (20293520).

Almost surely, 2168405957 is an apocalyptic number.

It is an amenable number.

168405957 is a deficient number, since it is larger than the sum of its proper divisors (75116283).

168405957 is a wasteful number, since it uses less digits than its factorization.

168405957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20712 (or 20709 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 168405957 is about 12977.1320791614. The cubic root of 168405957 is about 552.2289240304.

The spelling of 168405957 in words is "one hundred sixty-eight million, four hundred five thousand, nine hundred fifty-seven".

Divisors: 1 3 9 947 2841 8523 19759 59277 177831 18711773 56135319 168405957