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49845112320 = 293548713327
BaseRepresentation
bin101110011011000000…
…000000111000000000
311202122210101001200010
4232123000000320000
51304040322043240
634522025424520
73413131315113
oct563300007000
9152583331603
1049845112320
111a1592a2703
1297b103b140
13491494c203
1425abd3257a
15146ae9c280
hexb9b000e00

49845112320 has 160 divisors (see below), whose sum is σ = 159687779328. Its totient is φ = 13263740928.

The previous prime is 49845112313. The next prime is 49845112351. The reversal of 49845112320 is 2321154894.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3733497 + ... + 3746823.

Almost surely, 249845112320 is an apocalyptic number.

49845112320 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 49845112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79843889664).

49845112320 is an abundant number, since it is smaller than the sum of its proper divisors (109842667008).

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

49845112320 is a wasteful number, since it uses less digits than its factorization.

49845112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13824 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

It can be divided in two parts, 49845 and 112320, that added together give a triangular number (162165 = T569).

The spelling of 49845112320 in words is "forty-nine billion, eight hundred forty-five million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 487 512 640 768 960 974 1280 1461 1536 1920 1948 2435 2560 2922 3840 3896 4870 5844 7305 7680 7792 9740 11688 13327 14610 15584 19480 23376 26654 29220 31168 38960 39981 46752 53308 58440 62336 66635 77920 79962 93504 106616 116880 124672 133270 155840 159924 187008 199905 213232 233760 249344 266540 311680 319848 374016 399810 426464 467520 533080 623360 639696 748032 799620 852928 935040 1066160 1246720 1279392 1599240 1705856 1870080 2132320 2558784 3198480 3411712 3740160 4264640 5117568 6396960 6490249 6823424 8529280 10235136 12793920 12980498 17058560 19470747 20470272 25587840 25960996 32451245 34117120 38941494 51175680 51921992 64902490 77882988 97353735 102351360 103843984 129804980 155765976 194707470 207687968 259609960 311531952 389414940 415375936 519219920 623063904 778829880 830751872 1038439840 1246127808 1557659760 1661503744 2076879680 2492255616 3115319520 3323007488 4153759360 4984511232 6230639040 8307518720 9969022464 12461278080 16615037440 24922556160 49845112320