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6855198480 = 2434513194283
BaseRepresentation
bin1100110001001101…
…00000011100010000
3122200202021011110000
412120212200130100
5103014412322410
63052122410000
7331610140254
oct63046403420
918622234400
106855198480
1129a8643099
1213b3960900
13853307280
14490626264
152a1c64dc0
hex1989a0710

6855198480 has 400 divisors, whose sum is σ = 26996397120. Its totient is φ = 1598247936.

The previous prime is 6855198479. The next prime is 6855198491. The reversal of 6855198480 is 848915586.

It is a happy number.

6855198480 is a `hidden beast` number, since 6 + 8 + 551 + 9 + 8 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1598419 + ... + 1602701.

Almost surely, 26855198480 is an apocalyptic number.

6855198480 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 6855198480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13498198560).

6855198480 is an abundant number, since it is smaller than the sum of its proper divisors (20141198640).

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

6855198480 is a wasteful number, since it uses less digits than its factorization.

6855198480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 6855198480 is about 82796.1259963291. The cubic root of 6855198480 is about 1899.6489175871.

The spelling of 6855198480 in words is "six billion, eight hundred fifty-five million, one hundred ninety-eight thousand, four hundred eighty".