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331644643332 = 2231943241140363
BaseRepresentation
bin1001101001101111000…
…11111010100000000100
31011201000212220110122020
410310313203322200010
520413202012041312
6412204435403140
732650314645612
oct4646743724004
91151025813566
10331644643332
111187168341a2
12543371534b0
1325373b5a932
14120a1b826b2
1589608a478c
hex4d378fa804

331644643332 has 96 divisors (see below), whose sum is σ = 836973688320. Its totient is φ = 101869125120.

The previous prime is 331644643279. The next prime is 331644643333. The reversal of 331644643332 is 233346446133.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331644643333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292583 + ... + 2432945.

It is an arithmetic number, because the mean of its divisors is an integer number (8718475920).

Almost surely, 2331644643332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331644643332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418486844160).

331644643332 is an abundant number, since it is smaller than the sum of its proper divisors (505329044988).

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

331644643332 is a wasteful number, since it uses less digits than its factorization.

331644643332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140673 (or 140671 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 331644643332 in words is "three hundred thirty-one billion, six hundred forty-four million, six hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 241 258 482 516 723 817 964 1446 1634 2451 2892 3268 4579 4902 9158 9804 10363 13737 18316 20726 27474 31089 41452 54948 62178 124356 140363 196897 280726 393794 421089 561452 590691 787588 842178 1181382 1684356 2362764 2666897 5333794 6035609 8000691 10667588 12071218 16001382 18106827 24142436 32002764 33827483 36213654 67654966 72427308 101482449 114676571 135309932 202964898 229353142 344029713 405929796 458706284 642722177 688059426 1285444354 1376118852 1454581769 1928166531 2570888708 2909163538 3856333062 4363745307 5818327076 7712666124 8727490614 17454981228 27637053611 55274107222 82911160833 110548214444 165822321666 331644643332