Search a number
-
+
50393649060 = 223252321157689
BaseRepresentation
bin101110111011101100…
…100000111110100100
311211002000112121121200
4232323230200332210
51311201233232220
635052302442500
73432541643436
oct567354407644
9154060477550
1050393649060
111a40a9a0457
129924893430
1349a1499671
142620b20656
15149e201890
hexbbbb20fa4

50393649060 has 144 divisors (see below), whose sum is σ = 160265589120. Its totient is φ = 12792890880.

The previous prime is 50393649041. The next prime is 50393649077. The reversal of 50393649060 is 6094639305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 50393648997 and 50393649015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844696 + ... + 902384.

It is an arithmetic number, because the mean of its divisors is an integer number (1112955480).

Almost surely, 250393649060 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 50393649060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80132794560).

50393649060 is an abundant number, since it is smaller than the sum of its proper divisors (109871940060).

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

50393649060 is a wasteful number, since it uses less digits than its factorization.

50393649060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57938 (or 57933 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 50393649060 in words is "fifty billion, three hundred ninety-three million, six hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 211 230 276 345 414 422 460 633 690 828 844 1035 1055 1266 1380 1899 2070 2110 2532 3165 3798 4140 4220 4853 6330 7596 9495 9706 12660 14559 18990 19412 24265 29118 37980 43677 48530 57689 58236 72795 87354 97060 115378 145590 173067 174708 218385 230756 288445 291180 346134 436770 519201 576890 692268 865335 873540 1038402 1153780 1326847 1730670 2076804 2596005 2653694 3461340 3980541 5192010 5307388 6634235 7961082 10384020 11941623 12172379 13268470 15922164 19902705 23883246 24344758 26536940 36517137 39805410 47766492 48689516 59708115 60861895 73034274 79610820 109551411 119416230 121723790 146068548 182585685 219102822 238832460 243447580 279964717 365171370 438205644 547757055 559929434 730342740 839894151 1095514110 1119858868 1399823585 1679788302 2191028220 2519682453 2799647170 3359576604 4199470755 5039364906 5599294340 8398941510 10078729812 12598412265 16797883020 25196824530 50393649060