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133020400206336 = 293743171165303
BaseRepresentation
bin11110001111101100111001…
…101100111100001000000000
3122102222121220101212102100120
4132033230321230330020000
5114413401234423100321
61150524421144420240
740006256343644016
oct3617547154741000
9572877811772316
10133020400206336
11394256a9099965
1212b042b2a77680
13592ba016741a6
1424bc3165968b6
15105a274c5cec6
hex78fb39b3c200

133020400206336 has 80 divisors (see below), whose sum is σ = 354379732453824. Its totient is φ = 44339498717184.

The previous prime is 133020400206293. The next prime is 133020400206383. The reversal of 133020400206336 is 633602004020331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133020400206297 and 133020400206306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113568261 + ... + 114733563.

Almost surely, 2133020400206336 is an apocalyptic number.

133020400206336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133020400206336 is an abundant number, since it is smaller than the sum of its proper divisors (221359332247488).

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

133020400206336 is an equidigital number, since it uses as much as digits as its factorization.

133020400206336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239641 (or 1239625 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 133020400206336 its reverse (633602004020331), we get a palindrome (766622404226667).

The spelling of 133020400206336 in words is "one hundred thirty-three trillion, twenty billion, four hundred million, two hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 74317 148634 222951 297268 445902 594536 891804 1165303 1189072 1783608 2330606 2378144 3495909 3567216 4661212 4756288 6991818 7134432 9322424 9512576 13983636 14268864 18644848 19025152 27967272 28537728 37289696 38050304 55934544 57075456 74579392 111869088 114150912 149158784 223738176 298317568 447476352 596635136 894952704 1789905408 86601823051 173203646102 259805469153 346407292204 519610938306 692814584408 1039221876612 1385629168816 2078443753224 2771258337632 4156887506448 5542516675264 8313775012896 11085033350528 16627550025792 22170066701056 33255100051584 44340133402112 66510200103168 133020400206336