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4189012300 = 22521129131317
BaseRepresentation
bin1111100110101111…
…0100000101001100
3101210221100212120201
43321223310011030
532034341343200
61531401023244
7205544005564
oct37153640514
911727325521
104189012300
11185a651a40
1298aa84b24
13519b2c705
142ba4b5da4
15197b5dc6a
hexf9af414c

4189012300 has 72 divisors (see below), whose sum is σ = 10258562160. Its totient is φ = 1470739200.

The previous prime is 4189012273. The next prime is 4189012307. The reversal of 4189012300 is 32109814.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4189012307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33759 + ... + 97558.

It is an arithmetic number, because the mean of its divisors is an integer number (142480030).

Almost surely, 24189012300 is an apocalyptic number.

It is an amenable number.

4189012300 is an abundant number, since it is smaller than the sum of its proper divisors (6069549860).

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

4189012300 is a wasteful number, since it uses less digits than its factorization.

4189012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131371 (or 131364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4189012300 is about 64722.5795221420. The cubic root of 4189012300 is about 1612.0204434969.

It can be divided in two parts, 418901 and 2300, that added together give a square (421201 = 6492).

The spelling of 4189012300 in words is "four billion, one hundred eighty-nine million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 131317 262634 525268 656585 1313170 1444487 2626340 2888974 3282925 3808193 5777948 6565850 7222435 7616386 13131700 14444870 15232772 19040965 28889740 36112175 38081930 41890123 72224350 76163860 83780246 95204825 144448700 167560492 190409650 209450615 380819300 418901230 837802460 1047253075 2094506150 4189012300