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6748746480 = 2432572238317
BaseRepresentation
bin1100100100100000…
…11011001011110000
3122102022221211202100
412102100123023300
5102310134341410
63033401020400
7326145253500
oct62220331360
918368854670
106748746480
112953545133
121384184700
13837244b18
14480435a00
152977388c0
hex19241b2f0

6748746480 has 360 divisors, whose sum is σ = 27514480032. Its totient is φ = 1475324928.

The previous prime is 6748746463. The next prime is 6748746481. The reversal of 6748746480 is 846478476.

6748746480 is a `hidden beast` number, since 67 + 48 + 7 + 464 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6748746481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 807282 + ... + 815598.

Almost surely, 26748746480 is an apocalyptic number.

6748746480 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 6748746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757240016).

6748746480 is an abundant number, since it is smaller than the sum of its proper divisors (20765733552).

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

6748746480 is a wasteful number, since it uses less digits than its factorization.

6748746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8373 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 6748746480 is about 82150.7545917869. The cubic root of 6748746480 is about 1889.7645797305.

The spelling of 6748746480 in words is "six billion, seven hundred forty-eight million, seven hundred forty-six thousand, four hundred eighty".