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6049572480 = 2735575557
BaseRepresentation
bin1011010001001010…
…10010011010000000
3120121121100010100000
411220211102122000
544342142304410
62440143200000
7302625342360
oct55045223200
916547303300
106049572480
11262490a386
121209ba6000
137554346b3
144156349a0
1525617adc0
hex168952680

6049572480 has 384 divisors, whose sum is σ = 24762890880. Its totient is φ = 1382510592.

The previous prime is 6049572479. The next prime is 6049572491. The reversal of 6049572480 is 842759406.

It is a happy number.

6049572480 is a `hidden beast` number, since 60 + 49 + 5 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085862 + ... + 1091418.

It is an arithmetic number, because the mean of its divisors is an integer number (64486695).

Almost surely, 26049572480 is an apocalyptic number.

6049572480 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 6049572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381445440).

6049572480 is an abundant number, since it is smaller than the sum of its proper divisors (18713318400).

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

6049572480 is an equidigital number, since it uses as much as digits as its factorization.

6049572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6049572480 is about 77778.9976793221. The cubic root of 6049572480 is about 1822.1112720690. Note that the first 3 decimals are identical.

The spelling of 6049572480 in words is "six billion, forty-nine million, five hundred seventy-two thousand, four hundred eighty".