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3892133700450 = 23252930012
BaseRepresentation
bin111000101000110101001…
…111110010001101100010
3111210002021111012221022200
4320220311033302031202
51002232042211403300
612140004352514030
7551124462406512
oct70506517621542
914702244187280
103892133700450
111270710008266
1252a3a384b916
13223046688a98
14d6547699842
156b39b385200
hex38a353f2362

3892133700450 has 54 divisors (see below), whose sum is σ = 10456978314627. Its totient is φ = 1037891160000.

The previous prime is 3892133700449. The next prime is 3892133700461. The reversal of 3892133700450 is 540073312983.

3892133700450 is a `hidden beast` number, since 3 + 89 + 21 + 33 + 70 + 0 + 450 = 666.

3892133700450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 2870249260761 + 1021884439689 = 1694181^2 + 1010883^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1395015.

It is a super-2 number, since 2×38921337004502 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3892133700396 and 3892133700405.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41803950 + ... + 41896950.

Almost surely, 23892133700450 is an apocalyptic number.

3892133700450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3892133700450 is an abundant number, since it is smaller than the sum of its proper divisors (6564844614177).

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

3892133700450 is an frugal number, since it uses more digits than its factorization.

3892133700450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186020 (or 93011 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3892133700450 in words is "three trillion, eight hundred ninety-two billion, one hundred thirty-three million, seven hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 93001 186002 279003 465005 558006 837009 930010 1395015 1674018 2325025 2790030 4185045 4650050 6975075 8370090 13950150 20925225 41850450 8649186001 17298372002 25947558003 43245930005 51895116006 77842674009 86491860010 129737790015 155685348018 216229650025 259475580030 389213370045 432459300050 648688950075 778426740090 1297377900150 1946066850225 3892133700450