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1335605234216 = 23112329154314747
BaseRepresentation
bin10011011011111000010…
…001101000101000101000
311201200102121212202102112
4103123320101220220220
5133340304414443331
62501322451221452
7165331354114061
oct23337021505050
94650377782375
101335605234216
114754773766a0
12196a235a7888
1398c4082a276
1448902201568
1524b1eba932b
hex136f8468a28

1335605234216 has 128 divisors (see below), whose sum is σ = 2951110195200. Its totient is φ = 560272500480.

The previous prime is 1335605234189. The next prime is 1335605234269. The reversal of 1335605234216 is 6124325065331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90560555 + ... + 90575301.

It is an arithmetic number, because the mean of its divisors is an integer number (23055548400).

Almost surely, 21335605234216 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 1335605234216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475555097600).

1335605234216 is an abundant number, since it is smaller than the sum of its proper divisors (1615504960984).

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

1335605234216 is a wasteful number, since it uses less digits than its factorization.

1335605234216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16359 (or 16355 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 1335605234216 in words is "one trillion, three hundred thirty-five billion, six hundred five million, two hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 184 232 253 319 506 638 667 1012 1276 1334 1543 2024 2552 2668 3086 5336 6172 7337 12344 14674 14747 16973 29348 29494 33946 35489 44747 58696 58988 67892 70978 89494 117976 135784 141956 162217 178988 283912 324434 339181 357976 390379 427663 492217 648868 678362 780758 855326 984434 1029181 1297736 1356724 1561516 1710652 1968868 2058362 2713448 3123032 3421304 3730991 3937736 4116724 4704293 7461982 8233448 9408586 9836249 11320991 14923964 18817172 19672498 22641982 22754621 29847928 37634344 39344996 45283964 45509242 78689992 90567928 91018484 108198739 182036968 216397478 250300831 432794956 500601662 523356283 659884009 865589912 1001203324 1046712566 1319768018 2002406648 2093425132 2639536036 4186850264 5279072072 5756919113 7258724099 11513838226 14517448198 15177332207 23027676452 29034896396 30354664414 46055352904 58069792792 60709328828 121418657656 166950654277 333901308554 667802617108 1335605234216