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45090493119 = 32713726919421
BaseRepresentation
bin101001111111100110…
…100101001010111111
311022101102201101021200
4221333212211022333
51214321131234434
632414141430543
73154245603420
oct517746451277
9138342641250
1045090493119
1118139453951
1288a486b453
1343378a6679
14227a6a7647
15128d866199
hexa7f9a52bf

45090493119 has 48 divisors (see below), whose sum is σ = 75261026880. Its totient is φ = 25481525760.

The previous prime is 45090493111. The next prime is 45090493157. The reversal of 45090493119 is 91139409054.

45090493119 is a `hidden beast` number, since 45 + 0 + 9 + 0 + 493 + 119 = 666.

It is not a de Polignac number, because 45090493119 - 23 = 45090493111 is a prime.

It is a super-2 number, since 2×450904931192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45090493111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2312029 + ... + 2331449.

It is an arithmetic number, because the mean of its divisors is an integer number (1567938060).

Almost surely, 245090493119 is an apocalyptic number.

45090493119 is a deficient number, since it is larger than the sum of its proper divisors (30170533761).

45090493119 is a wasteful number, since it uses less digits than its factorization.

45090493119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840 (or 19837 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 45090493119 in words is "forty-five billion, ninety million, four hundred ninety-three thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 63 137 269 411 807 959 1233 1883 2421 2877 5649 8631 16947 19421 36853 58263 110559 135947 174789 257971 331677 407841 773913 1223523 2321739 2660677 5224249 7982031 15672747 18624739 23946093 36569743 47018241 55874217 109709229 167622651 329127687 715722113 2147166339 5010054791 6441499017 15030164373 45090493119