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49427642880 = 2933571137251
BaseRepresentation
bin101110000010000111…
…011111101000000000
311201120200211102021000
4232002013133220000
51302211434033010
634412353532000
73366602014050
oct560207375000
9151520742230
1049427642880
1119a64685740
1296b5274000
134879302285
14256c701560
1514444d77c0
hexb821dfa00

49427642880 has 1280 divisors, whose sum is σ = 225705553920. Its totient is φ = 9953280000.

The previous prime is 49427642879. The next prime is 49427642893. The reversal of 49427642880 is 8824672494.

49427642880 is a `hidden beast` number, since 4 + 94 + 276 + 4 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 196922755 + ... + 196923005.

It is an arithmetic number, because the mean of its divisors is an integer number (176332464).

Almost surely, 249427642880 is an apocalyptic number.

49427642880 is a gapful number since it is divisible by the number (40) 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 49427642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112852776960).

49427642880 is an abundant number, since it is smaller than the sum of its proper divisors (176277911040).

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

49427642880 is a wasteful number, since it uses less digits than its factorization.

49427642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 49427642880 in words is "forty-nine billion, four hundred twenty-seven million, six hundred forty-two thousand, eight hundred eighty".