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50311242688 = 2671720273259
BaseRepresentation
bin101110110110110010…
…001010001111000000
311210212021110221022211
4232312302022033000
51311014134231223
635040200311504
73430521335560
oct566662121700
9153767427284
1050311242688
111a378426313
129901172594
13498a3a5bb5
142613bccda0
151496d74d0d
hexbb6c8a3c0

50311242688 has 112 divisors (see below), whose sum is σ = 120907088640. Its totient is φ = 20277374976.

The previous prime is 50311242677. The next prime is 50311242713. The reversal of 50311242688 is 88624211305.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×503112426883 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 50311242688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15436003 + ... + 15439261.

Almost surely, 250311242688 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 50311242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60453544320).

50311242688 is an abundant number, since it is smaller than the sum of its proper divisors (70595845952).

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

50311242688 is a wasteful number, since it uses less digits than its factorization.

50311242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 50311242688 in words is "fifty billion, three hundred eleven million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 2027 3259 3808 4054 6518 7616 8108 13036 14189 16216 22813 26072 28378 32432 34459 45626 52144 55403 56756 64864 68918 91252 104288 110806 113512 129728 137836 182504 208576 221612 227024 241213 275672 365008 387821 443224 454048 482426 551344 730016 775642 886448 908096 964852 1102688 1460032 1551284 1772896 1929704 2205376 3102568 3545792 3859408 6205136 6605993 7718816 12410272 13211986 15437632 24820544 26423972 46241951 52847944 92483902 105695888 112301881 184967804 211391776 224603762 369935608 422783552 449207524 739871216 786113167 898415048 1479742432 1572226334 1796830096 2959484864 3144452668 3593660192 6288905336 7187320384 12577810672 25155621344 50311242688