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470483144900 = 225297463104759
BaseRepresentation
bin1101101100010101111…
…10110001000011000100
31122222101210001010001222
412312022332301003010
530202022141114100
61000045330335512
745664003514246
oct6661276610304
91588353033058
10470483144900
1117159251937a
1277223a2a598
133549bbb8c42
1418ab3024096
15c389643485
hex6d8afb10c4

470483144900 has 72 divisors (see below), whose sum is σ = 1033711338240. Its totient is φ = 185849072640.

The previous prime is 470483144899. The next prime is 470483144939. The reversal of 470483144900 is 9441384074.

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 23 ways as a sum of consecutive naturals, for example, 4438721 + ... + 4543479.

It is an arithmetic number, because the mean of its divisors is an integer number (14357101920).

Almost surely, 2470483144900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470483144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516855669120).

470483144900 is an abundant number, since it is smaller than the sum of its proper divisors (563228193340).

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

470483144900 is a wasteful number, since it uses less digits than its factorization.

470483144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105333 (or 105326 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 470483144900 in words is "four hundred seventy billion, four hundred eighty-three million, one hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 463 485 926 970 1852 1940 2315 2425 4630 4850 9260 9700 11575 23150 44911 46300 89822 104759 179644 209518 224555 419036 449110 523795 898220 1047590 1122775 2095180 2245550 2618975 4491100 5237950 10161623 10475900 20323246 40646492 48503417 50808115 97006834 101616230 194013668 203232460 242517085 254040575 485034170 508081150 970068340 1016162300 1212585425 2425170850 4704831449 4850341700 9409662898 18819325796 23524157245 47048314490 94096628980 117620786225 235241572450 470483144900