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50205021216 = 2537557134129
BaseRepresentation
bin101110110000011100…
…111101010000100000
311210120212121022212020
4232300130331100200
51310304441134331
635021443501440
73425061432150
oct566034752040
9153525538766
1050205021216
111a323475579
129891687880
13497139465c
142603a5c760
15148c891c96
hexbb073d420

50205021216 has 96 divisors (see below), whose sum is σ = 150886592640. Its totient is φ = 14318432256.

The previous prime is 50205021193. The next prime is 50205021239. The reversal of 50205021216 is 61212050205.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50205021193) and next prime (50205021239).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 307240 + ... + 441368.

It is an arithmetic number, because the mean of its divisors is an integer number (1571735340).

Almost surely, 250205021216 is an apocalyptic number.

50205021216 is a gapful number since it is divisible by the number (56) 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 50205021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75443296320).

50205021216 is an abundant number, since it is smaller than the sum of its proper divisors (100681571424).

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

50205021216 is a wasteful number, since it uses less digits than its factorization.

50205021216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134706 (or 134698 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 50205021216 in words is "fifty billion, two hundred five million, twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 557 672 1114 1671 2228 3342 3899 4456 6684 7798 8912 11697 13368 15596 17824 23394 26736 31192 46788 53472 62384 93576 124768 134129 187152 268258 374304 402387 536516 804774 938903 1073032 1609548 1877806 2146064 2816709 3219096 3755612 4292128 5633418 6438192 7511224 11266836 12876384 15022448 22533672 30044896 45067344 74709853 90134688 149419706 224129559 298839412 448259118 522968971 597678824 896518236 1045937942 1195357648 1568906913 1793036472 2091875884 2390715296 3137813826 3586072944 4183751768 6275627652 7172145888 8367503536 12551255304 16735007072 25102510608 50205021216