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48042468480 = 273525022119
BaseRepresentation
bin101100101111100011…
…011110010010000000
311121000011101021012110
4230233203132102000
51241342332442410
634023112455320
73320352146526
oct545743362200
9147004337173
1048042468480
11194137a2706
1293893aa540
1346b8344956
14247a76c316
1513b2ac0720
hexb2f8de480

48042468480 has 64 divisors (see below), whose sum is σ = 153135374400. Its totient is φ = 12811324416.

The previous prime is 48042468479. The next prime is 48042468497. The reversal of 48042468480 is 8486424084.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12509140 + ... + 12512979.

It is an arithmetic number, because the mean of its divisors is an integer number (2392740225).

Almost surely, 248042468480 is an apocalyptic number.

48042468480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48042468480 is an abundant number, since it is smaller than the sum of its proper divisors (105092905920).

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

48042468480 is a wasteful number, since it uses less digits than its factorization.

48042468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022141 (or 25022129 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 48042468480 in words is "forty-eight billion, forty-two million, four hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 25022119 50044238 75066357 100088476 125110595 150132714 200176952 250221190 300265428 375331785 400353904 500442380 600530856 750663570 800707808 1000884760 1201061712 1501327140 1601415616 2001769520 2402123424 3002654280 3202831232 4003539040 4804246848 6005308560 8007078080 9608493696 12010617120 16014156160 24021234240 48042468480