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46740100000 = 25551142491
BaseRepresentation
bin101011100001111011…
…010101001110100000
311110122101202002111211
4223201323111032200
51231210431200000
633245550315504
73243156203056
oct534173251640
9143571662454
1046740100000
1118905627a20
1290851b8b94
13453b58a909
1423957d21d6
1513385b37ba
hexae1ed53a0

46740100000 has 144 divisors (see below), whose sum is σ = 125476156512. Its totient is φ = 16996000000.

The previous prime is 46740099977. The next prime is 46740100019. The reversal of 46740100000 is 104764.

46740100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078755 + ... + 1121245.

It is an arithmetic number, because the mean of its divisors is an integer number (871362198).

Almost surely, 246740100000 is an apocalyptic number.

46740100000 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 46740100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62738078256).

46740100000 is an abundant number, since it is smaller than the sum of its proper divisors (78736056512).

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

46740100000 is an equidigital number, since it uses as much as digits as its factorization.

46740100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42537 (or 42509 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 46740100000 its reverse (104764), we get a palindrome (46740204764).

The spelling of 46740100000 in words is "forty-six billion, seven hundred forty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 42491 44000 50000 55000 68750 84982 100000 110000 137500 169964 212455 220000 275000 339928 424910 467401 550000 679856 849820 934802 1062275 1100000 1359712 1699640 1869604 2124550 2337005 3399280 3739208 4249100 4674010 5311375 6798560 7478416 8498200 9348020 10622750 11685025 14956832 16996400 18696040 21245500 23370050 26556875 33992800 37392080 42491000 46740100 53113750 58425125 74784160 84982000 93480200 106227500 116850250 132784375 169964000 186960400 212455000 233700500 265568750 292125625 373920800 424910000 467401000 531137500 584251250 849820000 934802000 1062275000 1168502500 1460628125 1869604000 2124550000 2337005000 2921256250 4249100000 4674010000 5842512500 9348020000 11685025000 23370050000 46740100000