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4700900000 = 2555291621
BaseRepresentation
bin1000110000011001…
…00000101010100000
3110010121120110111102
410120030200222200
534111412300000
62054244333532
7224330663546
oct43014405240
913117513442
104700900000
111aa2598825
12ab23a42a8
1359bbb7644
14328483d96
151c7a743d5
hex118320aa0

4700900000 has 144 divisors (see below), whose sum is σ = 11974155480. Its totient is φ = 1814400000.

The previous prime is 4700899981. The next prime is 4700900021. The reversal of 4700900000 is 90074.

It can be written as a sum of positive squares in 12 ways, for example, as 1470569104 + 3230330896 = 38348^2 + 56836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2899190 + ... + 2900810.

Almost surely, 24700900000 is an apocalyptic number.

4700900000 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 4700900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987077740).

4700900000 is an abundant number, since it is smaller than the sum of its proper divisors (7273255480).

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

4700900000 is an equidigital number, since it uses as much as digits as its factorization.

4700900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 4700900000 is about 68563.1096144275. The cubic root of 4700900000 is about 1675.1755960560.

Adding to 4700900000 its reverse (90074), we get a palindrome (4700990074).

The spelling of 4700900000 in words is "four billion, seven hundred million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1621 2000 2320 2500 2900 3125 3242 3625 4000 4640 5000 5800 6250 6484 7250 8105 10000 11600 12500 12968 14500 16210 18125 20000 23200 25000 25936 29000 32420 36250 40525 47009 50000 51872 58000 64840 72500 81050 90625 94018 100000 116000 129680 145000 162100 181250 188036 202625 235045 259360 290000 324200 362500 376072 405250 470090 580000 648400 725000 752144 810500 940180 1013125 1175225 1296800 1450000 1504288 1621000 1880360 2026250 2350450 2900000 3242000 3760720 4052500 4700900 5065625 5876125 6484000 7521440 8105000 9401800 10131250 11752250 16210000 18803600 20262500 23504500 29380625 32420000 37607200 40525000 47009000 58761250 81050000 94018000 117522500 146903125 162100000 188036000 235045000 293806250 470090000 587612500 940180000 1175225000 2350450000 4700900000