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50313415050 = 232521723892753
BaseRepresentation
bin101110110110111010…
…011100100110001010
311210212102120022020200
4232312322130212022
51311020213240200
635040315033030
73430545654153
oct566672344612
9153772508220
1050313415050
111a37967a458
129901a3b776
13498a986912
1426141d692a
151497153800
hexbb6e9c98a

50313415050 has 144 divisors (see below), whose sum is σ = 143238789720. Its totient is φ = 12617809920.

The previous prime is 50313415039. The next prime is 50313415057. The reversal of 50313415050 is 5051431305.

50313415050 is a `hidden beast` number, since 503 + 1 + 3 + 4 + 150 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12127956129 + 38185458921 = 110127^2 + 195411^2 .

It is not an unprimeable number, because it can be changed into a prime (50313415057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18274474 + ... + 18277226.

Almost surely, 250313415050 is an apocalyptic number.

50313415050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 50313415050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71619394860).

50313415050 is an abundant number, since it is smaller than the sum of its proper divisors (92925374670).

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

50313415050 is a wasteful number, since it uses less digits than its factorization.

50313415050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 50313415050 its reverse (5051431305), we get a palindrome (55364846355).

The spelling of 50313415050 in words is "fifty billion, three hundred thirteen million, four hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2389 2550 2753 3825 4778 5506 7167 7650 8259 11945 13765 14334 16518 21501 23890 24777 27530 35835 40613 41295 43002 46801 49554 59725 68825 71670 81226 82590 93602 107505 119450 121839 123885 137650 140403 179175 203065 206475 215010 234005 243678 247770 280806 358350 365517 406130 412950 421209 468010 537525 609195 619425 702015 731034 842418 1015325 1075050 1170025 1218390 1238850 1404030 1827585 2030650 2106045 2340050 3045975 3510075 3655170 4212090 6091950 6576917 7020150 9137925 10530225 13153834 18275850 19730751 21060450 32884585 39461502 59192253 65769170 98653755 111807589 118384506 164422925 197307510 223615178 295961265 328845850 335422767 493268775 559037945 591922530 670845534 986537550 1006268301 1118075890 1479806325 1677113835 2012536602 2795189725 2959612650 3354227670 5031341505 5590379450 8385569175 10062683010 16771138350 25156707525 50313415050