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49731345846 = 23371310120339
BaseRepresentation
bin101110010100001110…
…000001110110110110
311202100212022010102000
4232110032001312312
51303322211031341
634502443200130
73410250315330
oct562416016666
9152325263360
1049731345846
111a100059226
12977ab16046
1348c71c8680
14259ab9a450
151460ec88b6
hexb94381db6

49731345846 has 64 divisors (see below), whose sum is σ = 136017369600. Its totient is φ = 13115958048.

The previous prime is 49731345841. The next prime is 49731345847. The reversal of 49731345846 is 64854313794.

49731345846 is a `hidden beast` number, since 49 + 7 + 3 + 13 + 4 + 584 + 6 = 666.

49731345846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×497313458463 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49731345792 and 49731345801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49731345841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5055256 + ... + 5065083.

It is an arithmetic number, because the mean of its divisors is an integer number (2125271400).

Almost surely, 249731345846 is an apocalyptic number.

49731345846 is an abundant number, since it is smaller than the sum of its proper divisors (86286023754).

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

49731345846 is a wasteful number, since it uses less digits than its factorization.

49731345846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120370 (or 10120364 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 49731345846 in words is "forty-nine billion, seven hundred thirty-one million, three hundred forty-five thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 10120339 20240678 30361017 60722034 70842373 91083051 131564407 141684746 182166102 212527119 263128814 273249153 394693221 425054238 546498306 637581357 789386442 920950849 1184079663 1275162714 1841901698 1912744071 2368159326 2762852547 3552238989 3825488142 5525705094 7104477978 8288557641 16577115282 24865672923 49731345846