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6557838486480 = 243259108109009
BaseRepresentation
bin101111101101101110110…
…1000100010101111010000
3212012220221001001210202200
41133123131220202233100
51324420423123031410
621540343541443200
71244534231261541
oct137333550425720
925186831053680
106557838486480
1120a91889548a6
1289ab52a10500
1338752b190068
141895887a64c8
15b58b76a53c0
hex5f6dda22bd0

6557838486480 has 60 divisors (see below), whose sum is σ = 22023407586180. Its totient is φ = 1748756929536.

The previous prime is 6557838486461. The next prime is 6557838486611. The reversal of 6557838486480 is 846848387556.

6557838486480 is a `hidden beast` number, since 6 + 5 + 5 + 78 + 38 + 48 + 6 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3862121091984 + 2695717394496 = 1965228^2 + 1641864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×65578384864802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6557838486399 and 6557838486408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4554053785 + ... + 4554055224.

It is an arithmetic number, because the mean of its divisors is an integer number (367056793103).

Almost surely, 26557838486480 is an apocalyptic number.

6557838486480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6557838486480 is an abundant number, since it is smaller than the sum of its proper divisors (15465569099700).

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

6557838486480 is a wasteful number, since it uses less digits than its factorization.

6557838486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108109028 (or 9108109019 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 6557838486480 in words is "six trillion, five hundred fifty-seven billion, eight hundred thirty-eight million, four hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 9108109009 18216218018 27324327027 36432436036 45540545045 54648654054 72864872072 81972981081 91081090090 109297308108 136621635135 145729744144 163945962162 182162180180 218594616216 273243270270 327891924324 364324360360 409864905405 437189232432 546486540540 655783848648 728648720720 819729810810 1092973081080 1311567697296 1639459621620 2185946162160 3278919243240 6557838486480