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50432034016 = 2572136140559
BaseRepresentation
bin101110111101111110…
…111100010011100000
311211011200202202212201
4232331332330103200
51311241100042031
635100153302544
73433516134100
oct567576742340
9154150682781
1050432034016
111a42a628661
129935704a54
1349a9419060
142625c73200
1514a2784d61
hexbbdfbc4e0

50432034016 has 144 divisors (see below), whose sum is σ = 126425033280. Its totient is φ = 19623582720.

The previous prime is 50432034011. The next prime is 50432034031. The reversal of 50432034016 is 61043023405.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50432034011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223145 + ... + 1263703.

It is an arithmetic number, because the mean of its divisors is an integer number (877951620).

Almost surely, 250432034016 is an apocalyptic number.

50432034016 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 50432034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63212516640).

50432034016 is an abundant number, since it is smaller than the sum of its proper divisors (75992999264).

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

50432034016 is a wasteful number, since it uses less digits than its factorization.

50432034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40657 (or 40642 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 50432034016 in words is "fifty billion, four hundred thirty-two million, thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 61 91 98 104 112 122 182 196 208 224 244 364 392 416 427 488 637 728 784 793 854 976 1274 1456 1568 1586 1708 1952 2548 2912 2989 3172 3416 5096 5551 5978 6344 6832 10192 11102 11956 12688 13664 20384 22204 23912 25376 38857 40559 44408 47824 77714 81118 88816 95648 155428 162236 177632 283913 310856 324472 527267 567826 621712 648944 1054534 1135652 1243424 1297888 1987391 2109068 2271304 2474099 3690869 3974782 4218136 4542608 4948198 7381738 7949564 8436272 9085216 9896396 14763476 15899128 16872544 17318693 19792792 25836083 29526952 31798256 32163287 34637386 39585584 51672166 59053904 63596512 64326574 69274772 79171168 103344332 118107808 121230851 128653148 138549544 206688664 225143009 242461702 257306296 277099088 413377328 450286018 484923404 514612592 554198176 826754656 900572036 969846808 1029225184 1576001063 1801144072 1939693616 3152002126 3602288144 3879387232 6304004252 7204576288 12608008504 25216017008 50432034016