Search a number
-
+
50755597776 = 24321394128813
BaseRepresentation
bin101111010001010001…
…001111010111010000
311212000020121111220200
4233101101033113100
51312421413112101
635152232335200
73444525314502
oct572121172720
9155006544820
1050755597776
111a586236924
129a05b44500
134a2b4773c0
142656c1bd72
1514c0d9a986
hexbd144f5d0

50755597776 has 120 divisors (see below), whose sum is σ = 153139609896. Its totient is φ = 15599969280.

The previous prime is 50755597723. The next prime is 50755597793. The reversal of 50755597776 is 67779555705.

50755597776 is a `hidden beast` number, since 5 + 0 + 7 + 5 + 559 + 7 + 7 + 76 = 666.

50755597776 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 4 ways, for example, as 254721600 + 50500876176 = 15960^2 + 224724^2 .

It is a super-2 number, since 2×507555977762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747146 + ... + 1775958.

Almost surely, 250755597776 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 50755597776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76569804948).

50755597776 is an abundant number, since it is smaller than the sum of its proper divisors (102384012120).

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

50755597776 is a wasteful number, since it uses less digits than its factorization.

50755597776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29781 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 81033750, while the sum is 63.

The spelling of 50755597776 in words is "fifty billion, seven hundred fifty-five million, five hundred ninety-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 941 1872 1882 2823 3764 5646 7528 8469 11292 12233 15056 16938 22584 24466 28813 33876 36699 45168 48932 57626 67752 73398 86439 97864 110097 115252 135504 146796 172878 195728 220194 230504 259317 293592 345756 374569 440388 461008 518634 587184 691512 749138 880776 1037268 1123707 1383024 1498276 1761552 2074536 2247414 2996552 3371121 4149072 4494828 5993104 6742242 8989656 13484484 17979312 26968968 27113033 53937936 54226066 81339099 108452132 162678198 216904264 244017297 325356396 352469429 433808528 488034594 650712792 704938858 976069188 1057408287 1301425584 1409877716 1952138376 2114816574 2819755432 3172224861 3904276752 4229633148 5639510864 6344449722 8459266296 12688899444 16918532592 25377798888 50755597776