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213314771424 = 25353191219503
BaseRepresentation
bin1100011010101010001…
…1010001100111100000
3202101121021101011011210
43012222203101213200
511443332040141144
6241555003510120
721261065432406
oct3065243214740
9671537334153
10213314771424
118251469a027
1235412828340
1317166991251
14a478587476
155837351ab9
hex31aa8d19e0

213314771424 has 96 divisors (see below), whose sum is σ = 573506002944. Its totient is φ = 69397752320.

The previous prime is 213314771407. The next prime is 213314771431. The reversal of 213314771424 is 424177413312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 862057 + ... + 1081559.

It is an arithmetic number, because the mean of its divisors is an integer number (5974020864).

Almost surely, 2213314771424 is an apocalyptic number.

213314771424 is a gapful number since it is divisible by the number (24) 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 213314771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286753001472).

213314771424 is an abundant number, since it is smaller than the sum of its proper divisors (360191231520).

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

213314771424 is a wasteful number, since it uses less digits than its factorization.

213314771424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219760 (or 219752 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The spelling of 213314771424 in words is "two hundred thirteen billion, three hundred fourteen million, seven hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 191 212 318 382 424 573 636 764 848 1146 1272 1528 1696 2292 2544 3056 4584 5088 6112 9168 10123 18336 20246 30369 40492 60738 80984 121476 161968 219503 242952 323936 439006 485904 658509 878012 971808 1317018 1756024 2634036 3512048 5268072 7024096 10536144 11633659 21072288 23267318 34900977 41925073 46534636 69801954 83850146 93069272 125775219 139603908 167700292 186138544 251550438 279207816 335400584 372277088 503100876 558415632 670801168 1006201752 1116831264 1341602336 2012403504 2222028869 4024807008 4444057738 6666086607 8888115476 13332173214 17776230952 26664346428 35552461904 53328692856 71104923808 106657385712 213314771424