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330085021933 = 37157341316649
BaseRepresentation
bin1001100110110101001…
…10011011100011101101
31011120000012012111021201
410303122212123203231
520402003231200213
6411350003325501
732563546251502
oct4633246334355
91146005174251
10330085021933
11117a96431597
1253b80980891
13251859c1b34
1411d9499d4a9
1588bd9ce6dd
hex4cda99b8ed

330085021933 has 16 divisors (see below), whose sum is σ = 341285972400. Its totient is φ = 319005513216.

The previous prime is 330085021879. The next prime is 330085021979. The reversal of 330085021933 is 339120580033.

It can be written as a sum of positive squares in 8 ways, for example, as 85967999209 + 244117022724 = 293203^2 + 494082^2 .

It is a cyclic number.

It is not a de Polignac number, because 330085021933 - 221 = 330082924781 is a prime.

It is a super-2 number, since 2×3300850219332 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 330085021892 and 330085021901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330085021993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19817793 + ... + 19834441.

It is an arithmetic number, because the mean of its divisors is an integer number (21330373275).

Almost surely, 2330085021933 is an apocalyptic number.

It is an amenable number.

330085021933 is a deficient number, since it is larger than the sum of its proper divisors (11200950467).

330085021933 is a wasteful number, since it uses less digits than its factorization.

330085021933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 330085021933 in words is "three hundred thirty billion, eighty-five million, twenty-one thousand, nine hundred thirty-three".

Divisors: 1 37 157 3413 5809 16649 126281 535841 616013 2613893 19826117 56823037 96714041 2102452369 8921216809 330085021933