Search a number
-
+
73448275900 = 22522340517883
BaseRepresentation
bin100010001100111011…
…0111011111110111100
321000120201220000010211
41010121312323332330
52200410224312100
653424111242204
75210055021106
oct1043166737674
9230521800124
1073448275900
112917070086a
1212299819364
136c06973bac
1437aa98c576
151d9d2021ba
hex1119dbbfbc

73448275900 has 72 divisors (see below), whose sum is σ = 166374601344. Its totient is φ = 28091448000.

The previous prime is 73448275897. The next prime is 73448275907. The reversal of 73448275900 is 957284437.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73448275907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9313359 + ... + 9321241.

It is an arithmetic number, because the mean of its divisors is an integer number (2310758352).

Almost surely, 273448275900 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 73448275900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83187300672).

73448275900 is an abundant number, since it is smaller than the sum of its proper divisors (92926325444).

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

73448275900 is a wasteful number, since it uses less digits than its factorization.

73448275900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 73448275900 in words is "seventy-three billion, four hundred forty-eight million, two hundred seventy-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 4051 7883 8102 15766 16204 20255 31532 39415 40510 78830 81020 93173 101275 157660 181309 186346 197075 202550 362618 372692 394150 405100 465865 725236 788300 906545 931730 1813090 1863460 2329325 3626180 4532725 4658650 9065450 9317300 18130900 31934033 63868066 127736132 159670165 319340330 638680660 734482759 798350825 1468965518 1596701650 2937931036 3193403300 3672413795 7344827590 14689655180 18362068975 36724137950 73448275900