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47872711320 = 23357401142123
BaseRepresentation
bin101100100101011011…
…111001101010011000
311120120022221201011020
4230211123321222120
51241020403230240
633554210202440
73313221221640
oct544533715230
9146508851136
1047872711320
1119336996635
129340583420
13468c119025
142461dbd520
1513a2c3c0d0
hexb256f9a98

47872711320 has 128 divisors (see below), whose sum is σ = 164545482240. Its totient is φ = 10914969600.

The previous prime is 47872711309. The next prime is 47872711343. The reversal of 47872711320 is 2311727874.

It is a super-2 number, since 2×478727113202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265779 + ... + 407901.

It is an arithmetic number, because the mean of its divisors is an integer number (1285511580).

Almost surely, 247872711320 is an apocalyptic number.

47872711320 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 47872711320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82272741120).

47872711320 is an abundant number, since it is smaller than the sum of its proper divisors (116672770920).

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

47872711320 is a wasteful number, since it uses less digits than its factorization.

47872711320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142545 (or 142541 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 47872711320 in words is "forty-seven billion, eight hundred seventy-two million, seven hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 401 420 802 840 1203 1604 2005 2406 2807 3208 4010 4812 5614 6015 8020 8421 9624 11228 12030 14035 16040 16842 22456 24060 28070 33684 42105 48120 56140 67368 84210 112280 142123 168420 284246 336840 426369 568492 710615 852738 994861 1136984 1421230 1705476 1989722 2131845 2842460 2984583 3410952 3979444 4263690 4974305 5684920 5969166 7958888 8527380 9948610 11938332 14922915 17054760 19897220 23876664 29845830 39794440 56991323 59691660 113982646 119383320 170973969 227965292 284956615 341947938 398939261 455930584 569913230 683895876 797878522 854869845 1139826460 1196817783 1367791752 1595757044 1709739690 1994696305 2279652920 2393635566 3191514088 3419479380 3989392610 4787271132 5984088915 6838958760 7978785220 9574542264 11968177830 15957570440 23936355660 47872711320