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2045166123 = 371113681041
BaseRepresentation
bin111100111100110…
…1100001000101011
312021112100012111110
41321321230020223
513142030303443
6534535001403
7101452424310
oct17171541053
95245305443
102045166123
1195a496640
12490b09263
1326792c490
14155894d07
15be835233
hex79e6c22b

2045166123 has 32 divisors (see below), whose sum is σ = 3661281792. Its totient is φ = 980697600.

The previous prime is 2045166119. The next prime is 2045166133. The reversal of 2045166123 is 3216615402.

It is not a de Polignac number, because 2045166123 - 22 = 2045166119 is a prime.

It is a super-2 number, since 2×20451661232 = 8365408941333702258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2045166133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 337518 + ... + 343523.

It is an arithmetic number, because the mean of its divisors is an integer number (114415056).

Almost surely, 22045166123 is an apocalyptic number.

2045166123 is a deficient number, since it is larger than the sum of its proper divisors (1616115669).

2045166123 is a wasteful number, since it uses less digits than its factorization.

2045166123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681075.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2045166123 is about 45223.5129440427. The cubic root of 2045166123 is about 1269.3348290968.

The spelling of 2045166123 in words is "two billion, forty-five million, one hundred sixty-six thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 681041 2043123 4767287 7491451 8853533 14301861 22474353 26560599 52440157 61974731 97388863 157320471 185924193 292166589 681722041 2045166123