Search a number
-
+
2196487526640 = 24351123536167167
BaseRepresentation
bin11111111101101000110…
…110111101100011110000
321202222111222210101211120
4133331220312331203300
5241441401301323030
64401015154342240
7314456002631661
oct37755066754360
97688458711746
102196487526640
11777585a45840
122b583b28a980
1312c187c6a634
147844c287368
153c207dce010
hex1ff68dbd8f0

2196487526640 has 1280 divisors, whose sum is σ = 8195379462144. Its totient is φ = 481292697600.

The previous prime is 2196487526609. The next prime is 2196487526641. The reversal of 2196487526640 is 466257846912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196487526641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13152619837 + ... + 13152620003.

Almost surely, 22196487526640 is an apocalyptic number.

2196487526640 is a gapful number since it is divisible by the number (20) 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 2196487526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097689731072).

2196487526640 is an abundant number, since it is smaller than the sum of its proper divisors (5998891935504).

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

2196487526640 is a wasteful number, since it uses less digits than its factorization.

2196487526640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2196487526640 in words is "two trillion, one hundred ninety-six billion, four hundred eighty-seven million, five hundred twenty-six thousand, six hundred forty".