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48637411920 = 2432582192
BaseRepresentation
bin101101010011000001…
…000000001001010000
311122112121212112011200
4231103001000021100
51244102134140140
634202124311200
73341165115516
oct552301001120
9148477775150
1048637411920
11196996074a9
1295146a2500
13478168caa6
1424d579a4b6
1513e9e40030
hexb53040250

48637411920 has 90 divisors (see below), whose sum is σ = 163360517658. Its totient is φ = 12968398464.

The previous prime is 48637411919. The next prime is 48637411943. The reversal of 48637411920 is 2911473684.

48637411920 is a `hidden beast` number, since 4 + 8 + 637 + 4 + 1 + 1 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38909929536 + 9727482384 = 197256^2 + 98628^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5913571 + ... + 5921789.

Almost surely, 248637411920 is an apocalyptic number.

48637411920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48637411920 is an abundant number, since it is smaller than the sum of its proper divisors (114723105738).

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

48637411920 is an frugal number, since it uses more digits than its factorization.

48637411920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16457 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Multiplying 48637411920 by its sum of digits (45), we get a square (2188683536400 = 14794202).

48637411920 divided by its sum of digits (45) gives a square (1080831376 = 328762).

The spelling of 48637411920 in words is "forty-eight billion, six hundred thirty-seven million, four hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 8219 16438 24657 32876 41095 49314 65752 73971 82190 98628 123285 131504 147942 164380 197256 246570 295884 328760 369855 394512 493140 591768 657520 739710 986280 1183536 1479420 1972560 2958840 5917680 67551961 135103922 202655883 270207844 337759805 405311766 540415688 607967649 675519610 810623532 1013279415 1080831376 1215935298 1351039220 1621247064 2026558830 2431870596 2702078440 3039838245 3242494128 4053117660 4863741192 5404156880 6079676490 8106235320 9727482384 12159352980 16212470640 24318705960 48637411920