Search a number
-
+
3387886369920 = 273351359255617
BaseRepresentation
bin110001010011001101110…
…000110111110010000000
3102222212201121220110221000
4301103031300313302000
5421001342402314140
611112212402332000
7466523661000243
oct61231560676200
912885647813830
103387886369920
111096881596548
1246871835a000
131b76265ccca0
14b9d9033d25a
155d1d7923a30
hex314cdc37c80

3387886369920 has 512 divisors, whose sum is σ = 13140810144000. Its totient is φ = 819803455488.

The previous prime is 3387886369897. The next prime is 3387886369921. The reversal of 3387886369920 is 299636887833.

3387886369920 is a `hidden beast` number, since 3 + 38 + 78 + 86 + 369 + 92 + 0 = 666.

It is a super-2 number, since 2×33878863699202 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3387886369921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13125952 + ... + 13381568.

Almost surely, 23387886369920 is an apocalyptic number.

3387886369920 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 3387886369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570405072000).

3387886369920 is an abundant number, since it is smaller than the sum of its proper divisors (9752923774080).

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

3387886369920 is a wasteful number, since it uses less digits than its factorization.

3387886369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255717 (or 255699 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 3387886369920 in words is "three trillion, three hundred eighty-seven billion, eight hundred eighty-six million, three hundred sixty-nine thousand, nine hundred twenty".