Search a number
-
+
28424513470000 = 245422211279807
BaseRepresentation
bin1100111011010000110010…
…00001110011111000110000
310201122100122012211120122011
412131220121001303320300
512211201400422020000
6140242012523052304
75662413641010544
oct635503101637060
9121570565746564
1028424513470000
11906984a91248a
123230a40071094
1312b256000275b
14703a7a599a24
153445c08102ba
hex19da19073e30

28424513470000 has 100 divisors (see below), whose sum is σ = 68849628766336. Its totient is φ = 11364677280000.

The previous prime is 28424513469917. The next prime is 28424513470037. The reversal of 28424513470000 is 7431542482.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×284245134700002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21570097 + ... + 22849903.

Almost surely, 228424513470000 is an apocalyptic number.

28424513470000 is a gapful number since it is divisible by the number (20) 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 28424513470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34424814383168).

28424513470000 is an abundant number, since it is smaller than the sum of its proper divisors (40425115296336).

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

28424513470000 is a wasteful number, since it uses less digits than its factorization.

28424513470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282056 (or 1282035 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 28424513470000 in words is "twenty-eight trillion, four hundred twenty-four billion, five hundred thirteen million, four hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2221 2500 4442 5000 8884 10000 11105 17768 22210 35536 44420 55525 88840 111050 177680 222100 277625 444200 555250 888400 1110500 1279807 1388125 2221000 2559614 2776250 4442000 5119228 5552500 6399035 10238456 11105000 12798070 20476912 22210000 25596140 31995175 51192280 63990350 102384560 127980700 159975875 255961400 319951750 511922800 639903500 799879375 1279807000 1599758750 2559614000 2842451347 3199517500 5684902694 6399035000 11369805388 12798070000 14212256735 22739610776 28424513470 45479221552 56849026940 71061283675 113698053880 142122567350 227396107760 284245134700 355306418375 568490269400 710612836750 1136980538800 1421225673500 1776532091875 2842451347000 3553064183750 5684902694000 7106128367500 14212256735000 28424513470000