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3728051712 = 293272111979
BaseRepresentation
bin1101111000110101…
…1000111000000000
3100121210222122112100
43132031120320000
530113340123322
61413533030400
7161245626300
oct33615307000
910553878470
103728051712
11164342a480
12880625400
13475495b78
142751a3600
1516c457dac
hexde358e00

3728051712 has 720 divisors, whose sum is σ = 14554425600. Its totient is φ = 905748480.

The previous prime is 3728051699. The next prime is 3728051713. The reversal of 3728051712 is 2171508273.

It is a super-2 number, since 2×37280517122 = 27796739134692261888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728051713) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47190489 + ... + 47190567.

It is an arithmetic number, because the mean of its divisors is an integer number (20214480).

Almost surely, 23728051712 is an apocalyptic number.

3728051712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277212800).

3728051712 is an abundant number, since it is smaller than the sum of its proper divisors (10826373888).

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

3728051712 is a wasteful number, since it uses less digits than its factorization.

3728051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 3728051712 is about 61057.7735591464. The cubic root of 3728051712 is about 1550.5792787282.

Adding to 3728051712 its reverse (2171508273), we get a palindrome (5899559985).

The spelling of 3728051712 in words is "three billion, seven hundred twenty-eight million, fifty-one thousand, seven hundred twelve".