Search a number
-
+
73246160208 = 24313210198861
BaseRepresentation
bin100010000110111001…
…1111011010101010000
321000001122120110112110
41010031303323111100
52200002004111313
653352051225320
75202052042404
oct1041563732520
9230048513473
1073246160208
1129077603301
1212241ba8240
136ba3b28900
14378bbb9104
151d8a5caec3
hex110dcfb550

73246160208 has 120 divisors (see below), whose sum is σ = 205118434080. Its totient is φ = 22512622080.

The previous prime is 73246160201. The next prime is 73246160209. The reversal of 73246160208 is 80206164237.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73246160201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8261698 + ... + 8270558.

It is an arithmetic number, because the mean of its divisors is an integer number (1709320284).

Almost surely, 273246160208 is an apocalyptic number.

73246160208 is a gapful number since it is divisible by the number (78) 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 73246160208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102559217040).

73246160208 is an abundant number, since it is smaller than the sum of its proper divisors (131872273872).

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

73246160208 is a wasteful number, since it uses less digits than its factorization.

73246160208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9917 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 73246160208 in words is "seventy-three billion, two hundred forty-six million, one hundred sixty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1019 1352 2028 2038 2704 3057 4056 4076 6114 8112 8152 8861 12228 13247 16304 17722 24456 26494 26583 35444 39741 48912 52988 53166 70888 79482 105976 106332 115193 141776 158964 172211 211952 212664 230386 317928 344422 345579 425328 460772 516633 635856 688844 691158 921544 1033266 1377688 1382316 1497509 1843088 2066532 2755376 2764632 2995018 4133064 4492527 5529264 5990036 8266128 8985054 9029359 11980072 17970108 18058718 23960144 27088077 35940216 36117436 54176154 71880432 72234872 108352308 117381667 144469744 216704616 234763334 352145001 433409232 469526668 704290002 939053336 1408580004 1525961671 1878106672 2817160008 3051923342 4577885013 5634320016 6103846684 9155770026 12207693368 18311540052 24415386736 36623080104 73246160208