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47404374000 = 2435322934501
BaseRepresentation
bin101100001001100001…
…010101011111110000
311112100200200201010120
4230021201111133300
51234041004432000
633435520130240
73265503350004
oct541141253760
9145320621116
1047404374000
11191165958a5
12922b766980
13461609b959
142419b0a704
151376a7a6a0
hexb098557f0

47404374000 has 160 divisors (see below), whose sum is σ = 153503538240. Its totient is φ = 12585600000.

The previous prime is 47404373971. The next prime is 47404374011. The reversal of 47404374000 is 47340474.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1356750 + ... + 1391250.

It is an arithmetic number, because the mean of its divisors is an integer number (959397114).

Almost surely, 247404374000 is an apocalyptic number.

47404374000 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 47404374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76751769120).

47404374000 is an abundant number, since it is smaller than the sum of its proper divisors (106099164240).

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

47404374000 is a wasteful number, since it uses less digits than its factorization.

47404374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34756 (or 34740 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The spelling of 47404374000 in words is "forty-seven billion, four hundred four million, three hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 229 240 250 300 375 400 458 500 600 687 750 916 1000 1145 1200 1374 1500 1832 2000 2290 2748 3000 3435 3664 4580 5496 5725 6000 6870 9160 10992 11450 13740 17175 18320 22900 27480 28625 34350 34501 45800 54960 57250 68700 69002 85875 91600 103503 114500 137400 138004 171750 172505 207006 229000 274800 276008 343500 345010 414012 458000 517515 552016 687000 690020 828024 862525 1035030 1374000 1380040 1656048 1725050 2070060 2587575 2760080 3450100 4140120 4312625 5175150 6900200 7900729 8280240 8625250 10350300 12937875 13800400 15801458 17250500 20700600 23702187 25875750 31602916 34501000 39503645 41401200 47404374 51751500 63205832 69002000 79007290 94808748 103503000 118510935 126411664 158014580 189617496 197518225 207006000 237021870 316029160 379234992 395036450 474043740 592554675 632058320 790072900 948087480 987591125 1185109350 1580145800 1896174960 1975182250 2370218700 2962773375 3160291600 3950364500 4740437400 5925546750 7900729000 9480874800 11851093500 15801458000 23702187000 47404374000