Search a number
-
+
260255546461020 = 22351131211564110687
BaseRepresentation
bin111011001011001101110111…
…011001011100101101011100
31021010111012001111202211211010
4323023031313121130231130
5233103011324343223040
62321303425243255220
7105550562025452265
oct7313156731345534
91233435044684733
10260255546461020
1175a1a837146990
1225233327b1a510
13b22acba029546
14483a61563b96c
152014c9d856e80
hexecb37765cb5c

260255546461020 has 384 divisors, whose sum is σ = 824718798618624. Its totient is φ = 60751192320000.

The previous prime is 260255546460997. The next prime is 260255546461021. The reversal of 260255546461020 is 20164645552062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260255546461021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24352530117 + ... + 24352540803.

It is an arithmetic number, because the mean of its divisors is an integer number (2147705204736).

Almost surely, 2260255546461020 is an apocalyptic number.

260255546461020 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 260255546461020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412359399309312).

260255546461020 is an abundant number, since it is smaller than the sum of its proper divisors (564463252157604).

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

260255546461020 is a wasteful number, since it uses less digits than its factorization.

260255546461020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16593 (or 16591 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 260255546461020 in words is "two hundred sixty trillion, two hundred fifty-five billion, five hundred forty-six million, four hundred sixty-one thousand, twenty".