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49103264340 = 2234513243297
BaseRepresentation
bin101101101110110010…
…000101101001010100
311200202002110021120000
4231232302011221110
51301030413424330
634320245211300
73355552601034
oct555662055124
9150662407500
1049103264340
11199085702a9
129624700b30
13482704a100
14253b5c38c4
151425cb0560
hexb6ec85a54

49103264340 has 540 divisors, whose sum is σ = 172529133084. Its totient is φ = 11684155392.

The previous prime is 49103264323. The next prime is 49103264347. The reversal of 49103264340 is 4346230194.

It is a happy number.

49103264340 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 3 + 2 + 643 + 4 + 0 = 666.

49103264340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10757008656 + 38346255684 = 103716^2 + 195822^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×491032643402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 49103264295 and 49103264304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49103264347) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 506219172 + ... + 506219268.

Almost surely, 249103264340 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 49103264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86264566542).

49103264340 is an abundant number, since it is smaller than the sum of its proper divisors (123425868744).

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

49103264340 is a wasteful number, since it uses less digits than its factorization.

49103264340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 49103264340 in words is "forty-nine billion, one hundred three million, two hundred sixty-four thousand, three hundred forty".