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45275886036 = 22341632693187
BaseRepresentation
bin101010001010101001…
…110011000111010100
311022212100120022120000
4222022221303013110
51220211111323121
632444403211300
73161656452513
oct521251630724
9138770508500
1045275886036
111822406a337
128936976b30
134367118114
14229716667a
15129ec87526
hexa8aa731d4

45275886036 has 120 divisors (see below), whose sum is σ = 119566450080. Its totient is φ = 14938924608.

The previous prime is 45275885959. The next prime is 45275886067. The reversal of 45275886036 is 63068857254.

45275886036 is a `hidden beast` number, since 4 + 5 + 27 + 5 + 8 + 8 + 603 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 14204835 + ... + 14208021.

It is an arithmetic number, because the mean of its divisors is an integer number (996387084).

Almost surely, 245275886036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45275886036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59783225040).

45275886036 is an abundant number, since it is smaller than the sum of its proper divisors (74290564044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45275886036 is a wasteful number, since it uses less digits than its factorization.

45275886036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 45275886036 in words is "forty-five billion, two hundred seventy-five million, eight hundred eighty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 269 324 326 489 538 652 807 978 1076 1467 1614 1956 2421 2934 3187 3228 4401 4842 5868 6374 7263 8802 9561 9684 12748 13203 14526 17604 19122 21789 26406 28683 29052 38244 43578 43847 52812 57366 86049 87156 87694 114732 131541 172098 175388 258147 263082 344196 394623 516294 519481 526164 789246 857303 1032588 1038962 1183869 1558443 1578492 1714606 2077924 2367738 2571909 3116886 3429212 3551607 4675329 4735476 5143818 6233772 7103214 7715727 9350658 10287636 14025987 14206428 15431454 18701316 23147181 28051974 30862908 42077961 46294362 56103948 69441543 84155922 92588724 138883086 139740389 168311844 277766172 279480778 419221167 558961556 838442334 1257663501 1676884668 2515327002 3772990503 5030654004 7545981006 11318971509 15091962012 22637943018 45275886036