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135304323616 = 2571154912469
BaseRepresentation
bin111111000000011000…
…1000010001000100000
3110221020120221210201001
41332000301002020200
54204100401323431
6142054041121344
712526652526460
oct1760061021040
9427216853631
10135304323616
1152422843a60
1222281189254
13c9b3ab6167
146797b47ba0
1537bd87ee61
hex1f80c42220

135304323616 has 48 divisors (see below), whose sum is σ = 332110618560. Its totient is φ = 52715969280.

The previous prime is 135304323613. The next prime is 135304323619. The reversal of 135304323616 is 616323403531.

135304323616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135304323613) and next prime (135304323619).

It is not an unprimeable number, because it can be changed into a prime (135304323613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27453771 + ... + 27458698.

It is an arithmetic number, because the mean of its divisors is an integer number (6918971220).

Almost surely, 2135304323616 is an apocalyptic number.

135304323616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135304323616 is an abundant number, since it is smaller than the sum of its proper divisors (196806294944).

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

135304323616 is a wasteful number, since it uses less digits than its factorization.

135304323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54912497 (or 54912489 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 135304323616 in words is "one hundred thirty-five billion, three hundred four million, three hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 54912469 109824938 219649876 384387283 439299752 604037159 768774566 878599504 1208074318 1537549132 1757199008 2416148636 3075098264 4228260113 4832297272 6150196528 8456520226 9664594544 12300393056 16913040452 19329189088 33826080904 67652161808 135304323616