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48440048800800 = 2535297208075811
BaseRepresentation
bin10110000001110010100111…
…11001101101010000100000
320100111211020021202122210010
423000321103321231100200
522322120204443111200
6251005015021204520
713126451365126206
oct1300712371552040
9210454207678703
1048440048800800
111448634479a488
12552400a400740
132104b52a07b07
14bd6721b8d076
155900844a2150
hex2c0e53e6d420

48440048800800 has 144 divisors (see below), whose sum is σ = 159297847847712. Its totient is φ = 12784177766400.

The previous prime is 48440048800769. The next prime is 48440048800823. The reversal of 48440048800800 is 800884004484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48440048800800.

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, 103805106 + ... + 104270705.

It is an arithmetic number, because the mean of its divisors is an integer number (1106235054498).

Almost surely, 248440048800800 is an apocalyptic number.

48440048800800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48440048800800 is an abundant number, since it is smaller than the sum of its proper divisors (110857799046912).

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

48440048800800 is a wasteful number, since it uses less digits than its factorization.

48440048800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208075931 (or 208075918 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 48440048800800 in words is "forty-eight trillion, four hundred forty billion, forty-eight million, eight hundred thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 97 100 120 150 160 194 200 240 291 300 388 400 480 485 582 600 776 800 970 1164 1200 1455 1552 1940 2328 2400 2425 2910 3104 3880 4656 4850 5820 7275 7760 9312 9700 11640 14550 15520 19400 23280 29100 38800 46560 58200 77600 116400 232800 208075811 416151622 624227433 832303244 1040379055 1248454866 1664606488 2080758110 2496909732 3121137165 3329212976 4161516220 4993819464 5201895275 6242274330 6658425952 8323032440 9987638928 10403790550 12484548660 15605685825 16646064880 19975277856 20183353667 20807581100 24969097320 31211371650 33292129760 40366707334 41615162200 49938194640 60550061001 62422743300 80733414668 83230324400 99876389280 100916768335 121100122002 124845486600 161466829336 166460648800 201833536670 242200244004 249690973200 302750305005 322933658672 403667073340 484400488008 499381946400 504583841675 605500610010 645867317344 807334146680 968800976016 1009167683350 1211001220020 1513751525025 1614668293360 1937601952032 2018335366700 2422002440040 3027503050050 3229336586720 4036670733400 4844004880080 6055006100100 8073341466800 9688009760160 12110012200200 16146682933600 24220024400400 48440048800800