Search a number
-
+
5955882620160 = 2835111741892273
BaseRepresentation
bin101011010101011011001…
…0001001001010100000000
3210002101011200220110002010
41112222312101021110000
51240040121422321120
620400032242252520
71153204215654414
oct126526621112400
923071150813063
105955882620160
11199696a518a60
12802359057140
1334283926b705
141683a2874d44
15a4dd5c917e0
hex56ab6449500

5955882620160 has 1152 divisors, whose sum is σ = 22770268577280. Its totient is φ = 1310300569600.

The previous prime is 5955882620111. The next prime is 5955882620173. The reversal of 5955882620160 is 610262885595.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5955882620160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2620272784 + ... + 2620275056.

It is an arithmetic number, because the mean of its divisors is an integer number (19765858140).

Almost surely, 25955882620160 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 5955882620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385134288640).

5955882620160 is an abundant number, since it is smaller than the sum of its proper divisors (16814385957120).

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

5955882620160 is a wasteful number, since it uses less digits than its factorization.

5955882620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 57.

The spelling of 5955882620160 in words is "five trillion, nine hundred fifty-five billion, eight hundred eighty-two million, six hundred twenty thousand, one hundred sixty".