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49241139948 = 223571113217229
BaseRepresentation
bin101101110111000000…
…000010101011101100
311201002200220002100000
4231313000002223230
51301321212434243
634342052304300
73362145532530
oct556700025354
9151080802300
1049241139948
1119979381290
129662912090
134849792500
142551a33bc0
151432e475d3
hexb77002aec

49241139948 has 864 divisors, whose sum is σ = 185319912960. Its totient is φ = 11063070720.

The previous prime is 49241139943. The next prime is 49241139949. The reversal of 49241139948 is 84993114294.

49241139948 is a `hidden beast` number, since 4 + 9 + 241 + 1 + 399 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49241139894 and 49241139903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49241139943) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 215026698 + ... + 215026926.

It is an arithmetic number, because the mean of its divisors is an integer number (214490640).

Almost surely, 249241139948 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 49241139948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92659956480).

49241139948 is an abundant number, since it is smaller than the sum of its proper divisors (136078773012).

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

49241139948 is a wasteful number, since it uses less digits than its factorization.

49241139948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 49241139948 in words is "forty-nine billion, two hundred forty-one million, one hundred thirty-nine thousand, nine hundred forty-eight".