Search a number
-
+
335363534561216 = 2672332546926879
BaseRepresentation
bin100110001000000101110100…
…0010110010001111111000000
31121222102102220100011121201102
41030100023220112101333000
5322424044004321424331
63145131514135153532
7130432134006545030
oct11420135026217700
91558372810147642
10335363534561216
1197947970394567
12317438492158a8
1311518851541835
145cb59787578c0
1528b88962034cb
hex13102e8591fc0

335363534561216 has 56 divisors (see below), whose sum is σ = 793624265041920. Its totient is φ = 137478219132672.

The previous prime is 335363534561201. The next prime is 335363534561221. The reversal of 335363534561216 is 612165435363533.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3353635345612162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16273453136 + ... + 16273473743.

Almost surely, 2335363534561216 is an apocalyptic number.

It is an amenable number.

335363534561216 is an abundant number, since it is smaller than the sum of its proper divisors (458260730480704).

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

335363534561216 is a wasteful number, since it uses less digits than its factorization.

335363534561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32546926921 (or 32546926911 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 56.

The spelling of 335363534561216 in words is "three hundred thirty-five trillion, three hundred sixty-three billion, five hundred thirty-four million, five hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 32546926879 65093853758 130187707516 227828488153 260375415032 455656976306 520750830064 748579318217 911313952612 1041501660128 1497158636434 1822627905224 2083003320256 2994317272868 3645255810448 5240055227519 5988634545736 7290511620896 10480110455038 11977269091472 14581023241792 20960220910076 23954538182944 41920441820152 47909076365888 83840883640304 167681767280608 335363534561216