Search a number
-
+
49919671291776 = 273111341711272459
BaseRepresentation
bin10110101100110110101000…
…10001100100111110000000
320112202021101201112002020020
423112123110101210332000
523020340441322314101
6254100440322213440
713341401663601366
oct1326332421447600
9215667351462206
1049919671291776
11149a68a504a720
125722924ab4280
1321b153547b370
14c481a6d45636
155b87d28b1136
hex2d66d4464f80

49919671291776 has 1024 divisors, whose sum is σ = 163168498483200. Its totient is φ = 13319921664000.

The previous prime is 49919671291759. The next prime is 49919671291829. The reversal of 49919671291776 is 67719217691994.

It is a happy number.

49919671291776 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20300800435 + ... + 20300802893.

It is an arithmetic number, because the mean of its divisors is an integer number (159344236800).

Almost surely, 249919671291776 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 49919671291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81584249241600).

49919671291776 is an abundant number, since it is smaller than the sum of its proper divisors (113248827191424).

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

49919671291776 is a wasteful number, since it uses less digits than its factorization.

49919671291776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2727 counting only the distinct ones).

The product of its digits is 648121824, while the sum is 78.

The spelling of 49919671291776 in words is "forty-nine trillion, nine hundred nineteen billion, six hundred seventy-one million, two hundred ninety-one thousand, seven hundred seventy-six".