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49274001000 = 233453743247
BaseRepresentation
bin101101111000111101…
…011001011001101000
311201011222201121020000
4231320331121121220
51301403121013000
634345224503000
73363025045410
oct557075313150
9151158647200
1049274001000
1119995986284
12967191aa60
134853529813
142556149640
151435c89000
hexb78f59668

49274001000 has 960 divisors, whose sum is σ = 205817863680. Its totient is φ = 10766649600.

The previous prime is 49274000989. The next prime is 49274001109. The reversal of 49274001000 is 10047294.

It is a happy number.

49274001000 is a `hidden beast` number, since 492 + 74 + 0 + 0 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1048382977 + ... + 1048383023.

It is an arithmetic number, because the mean of its divisors is an integer number (214393608).

Almost surely, 249274001000 is an apocalyptic number.

49274001000 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 49274001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102908931840).

49274001000 is an abundant number, since it is smaller than the sum of its proper divisors (156543862680).

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

49274001000 is a wasteful number, since it uses less digits than its factorization.

49274001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 49274001000 its reverse (10047294), we get a palindrome (49284048294).

It can be divided in two parts, 4927400 and 1000, that added together give a square (4928400 = 22202).

The spelling of 49274001000 in words is "forty-nine billion, two hundred seventy-four million, one thousand".