Search a number
-
+
332435146500336 = 243112516092502343
BaseRepresentation
bin100101110010110010001011…
…0110100010110100011110000
31121121001111012221101202220210
41023211210112310112203300
5322033104140001002321
63135010333100104120
7130010434555664355
oct11345442664264360
91547044187352823
10332435146500336
1196a18a546a6650
12313501a9b35040
13113656660b2409
145c13d3859862c
15286760387bb76
hex12e5916d168f0

332435146500336 has 80 divisors (see below), whose sum is σ = 936866783473920. Its totient is φ = 100737482549760.

The previous prime is 332435146500311. The next prime is 332435146500371. The reversal of 332435146500336 is 633005641534233.

It is a super-2 number, since 2×3324351465003362 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 131598381 + ... + 134100723.

It is an arithmetic number, because the mean of its divisors is an integer number (11710834793424).

Almost surely, 2332435146500336 is an apocalyptic number.

It is an amenable number.

332435146500336 is an abundant number, since it is smaller than the sum of its proper divisors (604431636973584).

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

332435146500336 is a wasteful number, since it uses less digits than its factorization.

332435146500336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753974 (or 2753968 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 48.

The spelling of 332435146500336 in words is "three hundred thirty-two trillion, four hundred thirty-five billion, one hundred forty-six million, five hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 251609 503218 754827 1006436 1509654 2012872 2502343 2767699 3019308 4025744 5004686 5535398 6038616 7507029 8303097 10009372 11070796 12077232 15014058 16606194 20018744 22141592 27525773 30028116 33212388 40037488 44283184 55051546 60056232 66424776 82577319 110103092 120112464 132849552 165154638 220206184 330309276 440412368 660618552 1321237104 629612019887 1259224039774 1888836059661 2518448079548 3777672119322 5036896159096 6925732218757 7555344238644 10073792318192 13851464437514 15110688477288 20777196656271 27702928875028 30221376954576 41554393312542 55405857750056 83108786625084 110811715500112 166217573250168 332435146500336