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50346078016 = 26131091733209
BaseRepresentation
bin101110111000110111…
…000010111101000000
311210221201000202102011
4232320313002331000
51311102043444031
635043443102304
73431423413363
oct567067027500
9153851022364
1050346078016
111a396059643
129910971994
134994681a10
14261869a0da
151499e566b1
hexbb8dc2f40

50346078016 has 112 divisors (see below), whose sum is σ = 109239253200. Its totient is φ = 22883254272.

The previous prime is 50346077981. The next prime is 50346078031. The reversal of 50346078016 is 61087064305.

It is a happy number.

50346078016 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 8 ways, for example, as 1575772416 + 48770305600 = 39696^2 + 220840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50346078016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15687420 + ... + 15690628.

It is an arithmetic number, because the mean of its divisors is an integer number (975350475).

Almost surely, 250346078016 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 50346078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54619626600).

50346078016 is an abundant number, since it is smaller than the sum of its proper divisors (58893175184).

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

50346078016 is a wasteful number, since it uses less digits than its factorization.

50346078016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 50346078016 in words is "fifty billion, three hundred forty-six million, seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 173 208 218 346 416 436 692 832 872 1384 1417 1744 2249 2768 2834 3209 3488 4498 5536 5668 6418 6976 8996 11072 11336 12836 17992 18857 22672 25672 35984 37714 41717 45344 51344 71968 75428 83434 90688 102688 143936 150856 166868 205376 245141 301712 333736 349781 490282 555157 603424 667472 699562 980564 1110314 1206848 1334944 1399124 1961128 2220628 2669888 2798248 3922256 4441256 4547153 5596496 7217041 7844512 8882512 9094306 11192992 14434082 15689024 17765024 18188612 22385984 28868164 35530048 36377224 57736328 60512113 72754448 115472656 121024226 145508896 230945312 242048452 291017792 461890624 484096904 786657469 968193808 1573314938 1936387616 3146629876 3872775232 6293259752 12586519504 25173039008 50346078016