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48405044880 = 2433550944027
BaseRepresentation
bin101101000101001010…
…100101111010010000
311121221102122001112000
4231011022211322100
51243113142414010
634123104034000
73332344043553
oct550512457220
9147842561460
1048405044880
111958a427725
12946a902900
1347454b22ba
1424b299069a
1513d48407c0
hexb452a5e90

48405044880 has 160 divisors (see below), whose sum is σ = 167059843200. Its totient is φ = 12882359808.

The previous prime is 48405044839. The next prime is 48405044921. The reversal of 48405044880 is 8844050484.

48405044880 is a `hidden beast` number, since 4 + 84 + 0 + 50 + 448 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (48405044839) and next prime (48405044921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077427 + ... + 1121453.

It is an arithmetic number, because the mean of its divisors is an integer number (1044124020).

Almost surely, 248405044880 is an apocalyptic number.

48405044880 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 48405044880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83529921600).

48405044880 is an abundant number, since it is smaller than the sum of its proper divisors (118654798320).

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

48405044880 is a wasteful number, since it uses less digits than its factorization.

48405044880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44558 (or 44546 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 48405044880 in words is "forty-eight billion, four hundred five million, forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 509 540 720 1018 1080 1527 2036 2160 2545 3054 4072 4581 5090 6108 7635 8144 9162 10180 12216 13743 15270 18324 20360 22905 24432 27486 30540 36648 40720 44027 45810 54972 61080 68715 73296 88054 91620 109944 122160 132081 137430 176108 183240 219888 220135 264162 274860 352216 366480 396243 440270 528324 549720 660405 704432 792486 880540 1056648 1099440 1188729 1320810 1584972 1761080 1981215 2113296 2377458 2641620 3169944 3522160 3962430 4754916 5283240 5943645 6339888 7924860 9509832 10566480 11887290 15849720 19019664 22409743 23774580 31699440 44819486 47549160 67229229 89638972 95098320 112048715 134458458 179277944 201687687 224097430 268916916 336146145 358555888 403375374 448194860 537833832 605063061 672292290 806750748 896389720 1008438435 1075667664 1210126122 1344584580 1613501496 1792779440 2016876870 2420252244 2689169160 3025315305 3227002992 4033753740 4840504488 5378338320 6050630610 8067507480 9681008976 12101261220 16135014960 24202522440 48405044880