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1238426219716 = 227229227412
BaseRepresentation
bin10010000001010111111…
…101000111010011000100
311101101121001102022210021
4102001113331013103010
5130242244103012331
62344531455504524
7155321233116100
oct22012775072304
94341531368707
101238426219716
11438239351774
12180022528144
138ca245b491a
1443d23aa8900
1522333452211
hex12057f474c4

1238426219716 has 81 divisors (see below), whose sum is σ = 2611966451367. Its totient is φ = 512265270720.

The previous prime is 1238426219713. The next prime is 1238426219717. The reversal of 1238426219716 is 6179126248321.

The square root of 1238426219716 is 1112846.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42290277316 + 1196135942400 = 205646^2 + 1093680^2 .

It is not an unprimeable number, because it can be changed into a prime (1238426219713) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 451814106 + ... + 451816846.

Almost surely, 21238426219716 is an apocalyptic number.

1238426219716 is the 1112846-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1238426219716

1238426219716 is an abundant number, since it is smaller than the sum of its proper divisors (1373540231651).

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

1238426219716 is an frugal number, since it uses more digits than its factorization.

1238426219716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 2779 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The spelling of 1238426219716 in words is "one trillion, two hundred thirty-eight billion, four hundred twenty-six million, two hundred nineteen thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2741 2842 3364 5482 5684 5887 10964 11774 19187 23548 38374 41209 76748 79489 82418 134309 158978 164836 268618 317956 537236 556423 1112846 2225692 2305181 3894961 4610362 7513081 7789922 9220724 15026162 15579844 16136267 30052324 32272534 52591567 64545068 105183134 112953869 210366268 217879349 225907738 368140969 435758698 451815476 736281938 871517396 1472563876 1525155443 3050310886 6100621772 6318501121 10676088101 12637002242 21352176202 25274004484 42704352404 44229507847 88459015694 176918031388 309606554929 619213109858 1238426219716