Search a number
-
+
3782622383680 = 265717409124281
BaseRepresentation
bin110111000010110101110…
…111010000111001000000
3111101121121110100122022111
4313002311313100321000
5443433302312234210
612013413541145104
7540166623520510
oct67026567207100
914347543318274
103782622383680
1112292237a5098
125111206bb194
132159134b0c6a
14d1119363840
15685dc11c88a
hex370b5dd0e40

3782622383680 has 224 divisors, whose sum is σ = 10902787391232. Its totient is φ = 1220262297600.

The previous prime is 3782622383677. The next prime is 3782622383681. The reversal of 3782622383680 is 863832262873.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (3782622383681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155773140 + ... + 155797420.

Almost surely, 23782622383680 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 3782622383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451393695616).

3782622383680 is an abundant number, since it is smaller than the sum of its proper divisors (7120165007552).

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

3782622383680 is a wasteful number, since it uses less digits than its factorization.

3782622383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28413 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 3782622383680 in words is "three trillion, seven hundred eighty-two billion, six hundred twenty-two million, three hundred eighty-three thousand, six hundred eighty".