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2050044314420 = 2251989442113711
BaseRepresentation
bin11101110101010000001…
…010011100001100110100
321020222112010001102112202
4131311100022130030310
5232041442321030140
64205435524204032
7301053003105254
oct35652012341464
97228463042482
102050044314420
11720467630a23
1229138b839618
1311b41a54b63b
1471319037964
15384d66c7915
hex1dd5029c334

2050044314420 has 96 divisors (see below), whose sum is σ = 4583965478400. Its totient is φ = 767900390400.

The previous prime is 2050044314413. The next prime is 2050044314429. The reversal of 2050044314420 is 244134400502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050044314429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149511365 + ... + 149525075.

It is an arithmetic number, because the mean of its divisors is an integer number (47749640400).

Almost surely, 22050044314420 is an apocalyptic number.

2050044314420 is a gapful number since it is divisible by the number (20) 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 2050044314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291982739200).

2050044314420 is an abundant number, since it is smaller than the sum of its proper divisors (2533921163980).

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

2050044314420 is a wasteful number, since it uses less digits than its factorization.

2050044314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249 (or 18247 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 2050044314420 its reverse (244134400502), we get a palindrome (2294178714922).

The spelling of 2050044314420 in words is "two trillion, fifty billion, forty-four million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 890 1691 1780 3382 4421 6764 8455 8842 13711 16910 17684 22105 27422 33820 44210 54844 68555 83999 88420 137110 167998 260509 274220 335996 393469 419995 521018 786938 839990 1042036 1220279 1302545 1573876 1679980 1967345 2440558 2605090 3934690 4881116 5210180 6101395 7475911 7869380 12202790 14951822 23185301 24405580 29903644 37379555 46370602 60616331 74759110 92741204 115926505 121232662 149518220 231853010 242465324 303081655 463706020 606163310 1151710289 1212326620 2303420578 4606841156 5394853459 5758551445 10789706918 11517102890 21579413836 23034205780 26974267295 53948534590 102502215721 107897069180 205004431442 410008862884 512511078605 1025022157210 2050044314420