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49105708820640 = 25335192295931831
BaseRepresentation
bin10110010101001010100000…
…10101001010100010100000
320102212110102021112022121000
423022211100111022202200
522414021442424230030
6252234503505432000
713225525146004413
oct1312452025124240
9212773367468530
1049105708820640
111471268349a78a
12561102263b600
132152857902964
14c1aa2c4b5b7a
155a2543900860
hex2ca95054a8a0

49105708820640 has 1152 divisors, whose sum is σ = 188065847692800. Its totient is φ = 11951142174720.

The previous prime is 49105708820627. The next prime is 49105708820689. The reversal of 49105708820640 is 4602880750194.

It is a happy number.

49105708820640 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 570 + 8 + 8 + 2 + 0 + 64 + 0 = 666.

It is a super-3 number, since 3×491057088206403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26819064525 + ... + 26819066355.

It is an arithmetic number, because the mean of its divisors is an integer number (163251603900).

Almost surely, 249105708820640 is an apocalyptic number.

49105708820640 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 49105708820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94032923846400).

49105708820640 is an abundant number, since it is smaller than the sum of its proper divisors (138960138872160).

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

49105708820640 is a wasteful number, since it uses less digits than its factorization.

49105708820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 49105708820640 in words is "forty-nine trillion, one hundred five billion, seven hundred eight million, eight hundred twenty thousand, six hundred forty".