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2557122048 = 2936131731
BaseRepresentation
bin1001100001101010…
…1001011000000000
320121012200021000000
42120122221120000
520214110401143
61101424000000
7120240115215
oct23032513000
96535607000
102557122048
1110a2479708
125b4460000
13319a0c490
141a387db0c
15ee760bd3
hex986a9600

2557122048 has 560 divisors, whose sum is σ = 9016672896. Its totient is φ = 716636160.

The previous prime is 2557122023. The next prime is 2557122053. The reversal of 2557122048 is 8402217552.

It is a happy number.

2557122048 is a `hidden beast` number, since 25 + 571 + 2 + 20 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82487793 + ... + 82487823.

Almost surely, 22557122048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508336448).

2557122048 is an abundant number, since it is smaller than the sum of its proper divisors (6459550848).

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

2557122048 is an equidigital number, since it uses as much as digits as its factorization.

2557122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2557122048 is about 50567.9943046983. The cubic root of 2557122048 is about 1367.4679371334.

The spelling of 2557122048 in words is "two billion, five hundred fifty-seven million, one hundred twenty-two thousand, forty-eight".