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11045156445 = 3251717418293
BaseRepresentation
bin10100100100101011…
…11011011001011101
31001111202102002020100
422102111323121131
5140110030001240
65024000011313
7540465165201
oct122225733135
931452362210
1011045156445
114758780574
122183000b39
1310703a823b
1476aca6b01
15449a0de30
hex29257b65d

11045156445 has 48 divisors (see below), whose sum is σ = 20285199792. Its totient is φ = 5540382720.

The previous prime is 11045156407. The next prime is 11045156497. The reversal of 11045156445 is 54465154011.

11045156445 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 5 + 1 + 5 + 644 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2077445241 + 8967711204 = 45579^2 + 94698^2 .

It is not a de Polignac number, because 11045156445 - 28 = 11045156189 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 1327719 + ... + 1336011.

It is an arithmetic number, because the mean of its divisors is an integer number (422608329).

Almost surely, 211045156445 is an apocalyptic number.

11045156445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11045156445 is a deficient number, since it is larger than the sum of its proper divisors (9240043347).

11045156445 is a wasteful number, since it uses less digits than its factorization.

11045156445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10059 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 11045156445 in words is "eleven billion, forty-five million, one hundred fifty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1741 5223 8293 8705 15669 24879 26115 29597 41465 74637 78345 88791 124395 140981 147985 266373 373185 422943 443955 704905 1268829 1331865 2114715 6344145 14438113 43314339 72190565 129943017 216571695 245447921 649715085 736343763 1227239605 2209031289 3681718815 11045156445