Search a number
-
+
3661330237920 = 253254771761939
BaseRepresentation
bin110101010001111000010…
…010011100100111100000
3110222000112101210020001200
4311101320102130213200
5434441401020103140
611441554125401200
7525344114346345
oct65217022344740
913860471706050
103661330237920
111191841517813
124b1710109200
132073536ab904
14c92d05827cc
156538d9c9030
hex3547849c9e0

3661330237920 has 288 divisors, whose sum is σ = 12939862440960. Its totient is φ = 942121098240.

The previous prime is 3661330237771. The next prime is 3661330237933. The reversal of 3661330237920 is 297320331663.

3661330237920 is a `hidden beast` number, since 3 + 6 + 61 + 330 + 237 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36613302379202 (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 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, 4424311 + ... + 5186249.

It is an arithmetic number, because the mean of its divisors is an integer number (44930077920).

Almost surely, 23661330237920 is an apocalyptic number.

3661330237920 is a gapful number since it is divisible by the number (30) 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 3661330237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469931220480).

3661330237920 is an abundant number, since it is smaller than the sum of its proper divisors (9278532203040).

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

3661330237920 is a wasteful number, since it uses less digits than its factorization.

3661330237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762078 (or 762067 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 3661330237920 in words is "three trillion, six hundred sixty-one billion, three hundred thirty million, two hundred thirty-seven thousand, nine hundred twenty".