Search a number
-
+
6554956285440 = 293452953131157
BaseRepresentation
bin101111101100011000111…
…0101110100011000000000
3212012122111011200211020000
41133120301311310120000
51324344022302113230
621535145542120000
71244402633052213
oct137306165643000
925178434624200
106554956285440
1120a7a39a32572
1289a489720000
1338718c011964
14189393aa577a
15b579962eb60
hex5f631d74600

6554956285440 has 1600 divisors, whose sum is σ = 25093329370560. Its totient is φ = 1632762593280.

The previous prime is 6554956285429. The next prime is 6554956285481. The reversal of 6554956285440 is 445826594556.

6554956285440 is a `hidden beast` number, since 6 + 5 + 5 + 495 + 62 + 85 + 4 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41751313842 + ... + 41751313998.

Almost surely, 26554956285440 is an apocalyptic number.

6554956285440 is a gapful number since it is divisible by the number (60) 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 6554956285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546664685280).

6554956285440 is an abundant number, since it is smaller than the sum of its proper divisors (18538373085120).

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

6554956285440 is a wasteful number, since it uses less digits than its factorization.

6554956285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 6554956285440 in words is "six trillion, five hundred fifty-four billion, nine hundred fifty-six million, two hundred eighty-five thousand, four hundred forty".