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4868204000 = 255311110641
BaseRepresentation
bin1001000100010101…
…01110010111100000
3110120021101101102212
410202022232113200
534432230012000
62123022301252
7231432023402
oct44212562740
913507341385
104868204000
112078a797a0
12b3a427828
135c77647aa
14342794b72
151d75c0c35
hex1222ae5e0

4868204000 has 96 divisors (see below), whose sum is σ = 13048674912. Its totient is φ = 1770240000.

The previous prime is 4868203961. The next prime is 4868204069. The reversal of 4868204000 is 4028684.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11321 + ... + 99320.

It is an arithmetic number, because the mean of its divisors is an integer number (135923697).

Almost surely, 24868204000 is an apocalyptic number.

4868204000 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 4868204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524337456).

4868204000 is an abundant number, since it is smaller than the sum of its proper divisors (8180470912).

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

4868204000 is a wasteful number, since it uses less digits than its factorization.

4868204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110677 (or 110659 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4868204000 is about 69772.5160790408. The cubic root of 4868204000 is about 1694.8174346461.

The spelling of 4868204000 in words is "four billion, eight hundred sixty-eight million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 110641 221282 442564 553205 885128 1106410 1217051 1770256 2212820 2434102 2766025 3540512 4425640 4868204 5532050 6085255 8851280 9736408 11064100 12170510 13830125 17702560 19472816 22128200 24341020 27660250 30426275 38945632 44256400 48682040 55320500 60852550 88512800 97364080 110641000 121705100 152131375 194728160 221282000 243410200 304262750 442564000 486820400 608525500 973640800 1217051000 2434102000 4868204000