Search a number
-
+
3981389135472 = 243276170192369
BaseRepresentation
bin111001111011111101010…
…010001111111001110000
3112002121122212001211022100
4321323331102033321300
51010212341104313342
612245005214340400
7560434351161630
oct71737522177160
915077585054270
103981389135472
1112a55524106a1
125437531ba700
1322b59c167368
14da9b373c6c0
156d872189e4c
hex39efd48fe70

3981389135472 has 240 divisors, whose sum is σ = 12961485501120. Its totient is φ = 1117283328000.

The previous prime is 3981389135467. The next prime is 3981389135519. The reversal of 3981389135472 is 2745319831893.

3981389135472 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 3 + 89 + 1 + 3 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43056904 + ... + 43149272.

It is an arithmetic number, because the mean of its divisors is an integer number (54006189588).

Almost surely, 23981389135472 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 3981389135472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480742750560).

3981389135472 is an abundant number, since it is smaller than the sum of its proper divisors (8980096365648).

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

3981389135472 is a wasteful number, since it uses less digits than its factorization.

3981389135472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93152 (or 93143 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 3981389135472 in words is "three trillion, nine hundred eighty-one billion, three hundred eighty-nine million, one hundred thirty-five thousand, four hundred seventy-two".