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4849100923040 = 255112557449677
BaseRepresentation
bin100011010010000010011…
…1100000010000010100000
3122011120101011212202210222
41012210010330002002200
51113421424314014130
614151351325342212
71010223145525223
oct106440474020240
918146334782728
104849100923040
1115aa546067600
12663956107968
1329236448260a
1412a9aa8395ba
1586209c48ce5
hex46904f020a0

4849100923040 has 144 divisors (see below), whose sum is σ = 12614768368776. Its totient is φ = 1760139786240.

The previous prime is 4849100922943. The next prime is 4849100923063. The reversal of 4849100923040 is 403290019484.

It can be written as a sum of positive squares in 4 ways, for example, as 4175499907216 + 673601015824 = 2043404^2 + 820732^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4849100922982 and 4849100923000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10558682 + ... + 11008358.

Almost surely, 24849100923040 is an apocalyptic number.

4849100923040 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 4849100923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307384184388).

4849100923040 is an abundant number, since it is smaller than the sum of its proper divisors (7765667445736).

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

4849100923040 is a wasteful number, since it uses less digits than its factorization.

4849100923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450271 (or 450252 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 4849100923040 in words is "four trillion, eight hundred forty-nine billion, one hundred million, nine hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 557 605 880 968 1114 1210 1760 1936 2228 2420 2785 3872 4456 4840 5570 6127 8912 9680 11140 12254 17824 19360 22280 24508 30635 44560 49016 61270 67397 89120 98032 122540 134794 196064 245080 269588 336985 449677 490160 539176 673970 899354 980320 1078352 1347940 1798708 2156704 2248385 2695880 3597416 4496770 4946447 5391760 7194832 8993540 9892894 10783520 14389664 17987080 19785788 24732235 35974160 39571576 49464470 54410917 71948320 79143152 98928940 108821834 158286304 197857880 217643668 250470089 272054585 395715760 435287336 500940178 544109170 791431520 870574672 1001880356 1088218340 1252350445 1741149344 2003760712 2176436680 2504700890 2755170979 4007521424 4352873360 5009401780 5510341958 8015042848 8705746720 10018803560 11020683916 13775854895 20037607120 22041367832 27551709790 30306880769 40075214240 44082735664 55103419580 60613761538 88165471328 110206839160 121227523076 151534403845 220413678320 242455046152 303068807690 440827356640 484910092304 606137615380 969820184608 1212275230760 2424550461520 4849100923040