Search a number
-
+
49076695360 = 26571129173397
BaseRepresentation
bin101101101101001100…
…101111000101000000
311200200020110102202201
4231231030233011000
51301002113222420
634313455522544
73355111012330
oct555514570500
9150606412681
1049076695360
11198a4573670
129617829454
1348216a6a14
142537c690c0
1514237b310a
hexb6d32f140

49076695360 has 448 divisors, whose sum is σ = 151977669120. Its totient is φ = 14646804480.

The previous prime is 49076695351. The next prime is 49076695379. The reversal of 49076695360 is 6359667094.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 123618682 + ... + 123619078.

Almost surely, 249076695360 is an apocalyptic number.

49076695360 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 49076695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75988834560).

49076695360 is an abundant number, since it is smaller than the sum of its proper divisors (102900973760).

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

49076695360 is a wasteful number, since it uses less digits than its factorization.

49076695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 55.

The spelling of 49076695360 in words is "forty-nine billion, seventy-six million, six hundred ninety-five thousand, three hundred sixty".