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48379408560 = 2432579599089
BaseRepresentation
bin101101000011101000…
…110011000010110000
311121212122101121002200
4231003220303002300
51243040112033220
634120350343200
73331613121240
oct550350630260
9147778347080
1048379408560
1119576a0778a
1294621bab00
1347400a7592
1424ad3d9b20
1513d2479890
hexb43a330b0

48379408560 has 120 divisors (see below), whose sum is σ = 185684796960. Its totient is φ = 11058149376.

The previous prime is 48379408541. The next prime is 48379408589. The reversal of 48379408560 is 6580497384.

48379408560 is a `hidden beast` number, since 4 + 8 + 3 + 79 + 4 + 0 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 48379408497 and 48379408506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4794505 + ... + 4804584.

It is an arithmetic number, because the mean of its divisors is an integer number (1547373308).

Almost surely, 248379408560 is an apocalyptic number.

48379408560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48379408560 is an abundant number, since it is smaller than the sum of its proper divisors (137305388400).

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

48379408560 is a wasteful number, since it uses less digits than its factorization.

48379408560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599115 (or 9599106 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 48379408560 in words is "forty-eight billion, three hundred seventy-nine million, four hundred eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 9599089 19198178 28797267 38396356 47995445 57594534 67193623 76792712 86391801 95990890 115189068 134387246 143986335 153585424 172783602 191981780 201580869 230378136 268774492 287972670 335968115 345567204 383963560 403161738 431959005 460756272 537548984 575945340 604742607 671936230 691134408 767927120 806323476 863918010 1007904345 1075097968 1151890680 1209485214 1343872460 1382268816 1612646952 1727836020 2015808690 2303781360 2418970428 2687744920 3023713035 3225293904 3455672040 4031617380 4837940856 5375489840 6047426070 6911344080 8063234760 9675881712 12094852140 16126469520 24189704280 48379408560