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42644020200 = 23352431652869
BaseRepresentation
bin100111101101110010…
…000001101111101000
311002001221020200100120
4213231302001233220
51144313332121300
631331305203240
73036521122335
oct475562015750
9132057220316
1042644020200
11170a348a601
128321490520
134037a98b62
1420c77cb98c
151198bb03a0
hex9edc81be8

42644020200 has 96 divisors (see below), whose sum is σ = 135270880800. Its totient is φ = 11107272960.

The previous prime is 42644020193. The next prime is 42644020229. The reversal of 42644020200 is 202044624.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 800635 + ... + 852234.

It is an arithmetic number, because the mean of its divisors is an integer number (1409071675).

Almost surely, 242644020200 is an apocalyptic number.

42644020200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42644020200 is an abundant number, since it is smaller than the sum of its proper divisors (92626860600).

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

42644020200 is a wasteful number, since it uses less digits than its factorization.

42644020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652931 (or 1652922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42644020200 its reverse (202044624), we get a palindrome (42846064824).

The spelling of 42644020200 in words is "forty-two billion, six hundred forty-four million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 1652869 3305738 4958607 6611476 8264345 9917214 13222952 16528690 19834428 24793035 33057380 39668856 41321725 49586070 66114760 71073367 82643450 99172140 123965175 142146734 165286900 198344280 213220101 247930350 284293468 330573800 355366835 426440202 495860700 568586936 710733670 852880404 991721400 1066100505 1421467340 1705760808 1776834175 2132201010 2842934680 3553668350 4264402020 5330502525 7107336700 8528804040 10661005050 14214673400 21322010100 42644020200