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50110288128 = 283237358309
BaseRepresentation
bin101110101010110011…
…100101000100000000
311210100021100101111100
4232222303211010000
51310111213210003
635004221214400
73422531264325
oct565263450400
9153307311440
1050110288128
111a284a5116a
129865a01400
134957876284
1425d523cb4c
1514843ccba3
hexbaace5100

50110288128 has 108 divisors (see below), whose sum is σ = 144870145420. Its totient is φ = 16658362368.

The previous prime is 50110288093. The next prime is 50110288141. The reversal of 50110288128 is 82188201105.

50110288128 is a `hidden beast` number, since 501 + 1 + 0 + 28 + 8 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25564172544 + 24546115584 = 159888^2 + 156672^2 .

It is a super-2 number, since 2×501102881282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50110288092 and 50110288101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830238 + ... + 888546.

Almost surely, 250110288128 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 50110288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72435072710).

50110288128 is an abundant number, since it is smaller than the sum of its proper divisors (94759857292).

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

50110288128 is a wasteful number, since it uses less digits than its factorization.

50110288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58704 (or 58687 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 50110288128 in words is "fifty billion, one hundred ten million, two hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 373 384 576 746 768 1119 1152 1492 2238 2304 2984 3357 4476 5968 6714 8952 11936 13428 17904 23872 26856 35808 47744 53712 58309 71616 95488 107424 116618 143232 174927 214848 233236 286464 349854 429696 466472 524781 699708 859392 932944 1049562 1399416 1865888 2099124 2798832 3731776 4198248 5597664 7463552 8396496 11195328 14927104 16792992 21749257 22390656 33585984 43498514 44781312 65247771 67171968 86997028 130495542 134343936 173994056 195743313 260991084 347988112 391486626 521982168 695976224 782973252 1043964336 1391952448 1565946504 2087928672 2783904896 3131893008 4175857344 5567809792 6263786016 8351714688 12527572032 16703429376 25055144064 50110288128