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3355397839764 = 2232130367714947
BaseRepresentation
bin110000110100111101010…
…010111101101110010100
3102212202212110000010221100
4300310331102331232110
5414433323321333024
611045240512350100
7464263613023365
oct60647522755624
912782773003840
103355397839764
11108401a672a23
1246236bb45330
131b45497c3349
14b858b5cbb6c
155c4355d77c9
hex30d3d4bdb94

3355397839764 has 36 divisors (see below), whose sum is σ = 8481777018624. Its totient is φ = 1118455802832.

The previous prime is 3355397839697. The next prime is 3355397839769. The reversal of 3355397839764 is 4679387935533.

3355397839764 is a `hidden beast` number, since 3 + 3 + 5 + 539 + 7 + 83 + 9 + 7 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×33553978397643 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3355397839692 and 3355397839701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355397839769) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4335739 + ... + 5050685.

It is an arithmetic number, because the mean of its divisors is an integer number (235604917184).

Almost surely, 23355397839764 is an apocalyptic number.

It is an amenable number.

3355397839764 is an abundant number, since it is smaller than the sum of its proper divisors (5126379178860).

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

3355397839764 is a wasteful number, since it uses less digits than its factorization.

3355397839764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845324 (or 845319 counting only the distinct ones).

The product of its digits is 1543147200, while the sum is 72.

The spelling of 3355397839764 in words is "three trillion, three hundred fifty-five billion, three hundred ninety-seven million, eight hundred thirty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 130367 260734 391101 521468 714947 782202 1173303 1429894 1564404 2144841 2346606 2859788 4289682 4693212 6434523 8579364 12869046 25738092 93205495549 186410991098 279616486647 372821982196 559232973294 838849459941 1118465946588 1677698919882 3355397839764