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1890495945 = 3251337167523
BaseRepresentation
bin111000010101110…
…1010110111001001
311212202022010220100
41300223222313021
512332431332240
6511331520013
764563643662
oct16053526711
94782263810
101890495945
11890154648
12449159009
13241886970
1413d112369
15b0e81e30
hex70aeadc9

1890495945 has 96 divisors (see below), whose sum is σ = 3652975872. Its totient is φ = 898407936.

The previous prime is 1890495941. The next prime is 1890496001. The reversal of 1890495945 is 5495940981.

1890495945 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 49 + 594 + 5 = 666.

It is not a de Polignac number, because 1890495945 - 22 = 1890495941 is a prime.

It is a super-2 number, since 2×18904959452 = 7147949836122886050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1890495891 and 1890495900.

It is not an unprimeable number, because it can be changed into a prime (1890495941) 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 95 ways as a sum of consecutive naturals, for example, 3614454 + ... + 3614976.

It is an arithmetic number, because the mean of its divisors is an integer number (38051832).

Almost surely, 21890495945 is an apocalyptic number.

1890495945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1890495945 is a deficient number, since it is larger than the sum of its proper divisors (1762479927).

1890495945 is a wasteful number, since it uses less digits than its factorization.

1890495945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1890495945 is about 43479.8337738313. The cubic root of 1890495945 is about 1236.4937249735.

The spelling of 1890495945 in words is "one billion, eight hundred ninety million, four hundred ninety-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 167 185 195 333 481 501 523 555 585 835 1443 1503 1569 1665 2171 2405 2505 2615 4329 4707 6179 6513 6799 7215 7515 7845 10855 18537 19351 19539 20397 21645 23535 30895 32565 33995 55611 58053 61191 80327 87341 92685 96755 97695 101985 174159 240981 251563 262023 278055 290265 305955 401635 436705 722943 754689 786069 870795 1135433 1204905 1257815 1310115 2264067 3231617 3406299 3614715 3773445 3930345 5677165 9694851 10218897 11320335 16158085 17031495 29084553 42011021 48474255 51094485 126033063 145422765 210055105 378099189 630165315 1890495945