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49906044160 = 285722324977
BaseRepresentation
bin101110011110101000…
…011100110100000000
311202211001000201102221
4232132220130310000
51304201421403120
634532043420424
73414501243010
oct563650346400
9152731021387
1049906044160
111a18a72a6a5
129809524714
13492446435b
1425b6073c40
1514714d60aa
hexb9ea1cd00

49906044160 has 144 divisors (see below), whose sum is σ = 137235926016. Its totient is φ = 17033232384.

The previous prime is 49906044151. The next prime is 49906044173. The reversal of 49906044160 is 6144060994.

It is a super-2 number, since 2×499060441602 (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 15 ways as a sum of consecutive naturals, for example, 1985592 + ... + 2010568.

It is an arithmetic number, because the mean of its divisors is an integer number (953027264).

Almost surely, 249906044160 is an apocalyptic number.

49906044160 is a gapful number since it is divisible by the number (40) 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 49906044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68617963008).

49906044160 is an abundant number, since it is smaller than the sum of its proper divisors (87329881856).

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

49906044160 is a wasteful number, since it uses less digits than its factorization.

49906044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25228 (or 25214 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 49906044160 in words is "forty-nine billion, nine hundred six million, forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 223 224 256 280 320 446 448 560 640 892 896 1115 1120 1280 1561 1784 1792 2230 2240 3122 3568 4460 4480 6244 7136 7805 8920 8960 12488 14272 15610 17840 24976 24977 28544 31220 35680 49952 49954 57088 62440 71360 99904 99908 124880 124885 142720 174839 199808 199816 249760 249770 285440 349678 399616 399632 499520 499540 699356 799264 874195 999040 999080 1398712 1598528 1748390 1998080 1998160 2797424 3197056 3496780 3996320 5569871 5594848 6394112 6993560 7992640 11139742 11189696 13987120 15985280 22279484 22379392 27849355 27974240 31970560 38989097 44558968 44758784 55698710 55948480 77978194 89117936 111397420 111896960 155956388 178235872 194945485 222794840 223793920 311912776 356471744 389890970 445589680 623825552 712943488 779781940 891179360 1247651104 1425886976 1559563880 1782358720 2495302208 3119127760 3564717440 4990604416 6238255520 7129434880 9981208832 12476511040 24953022080 49906044160