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332112469264 = 241440732
BaseRepresentation
bin1001101010100110111…
…00100001110100010000
31011202020111012111011121
410311103130201310100
520420131243004024
6412323110452024
732665025260612
oct4652334416420
91152214174147
10332112469264
111189369157a4
1254447964014
1325419a59304
1412107d60db2
15898b9b48e4
hex4d53721d10

332112469264 has 15 divisors (see below), whose sum is σ = 643472375493. Its totient is φ = 166055082048.

The previous prime is 332112469261. The next prime is 332112469267. The reversal of 332112469264 is 462964211233.

The square root of 332112469264 is 576292.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (332112469261) and next prime (332112469267).

It can be written as a sum of positive squares in only one way, i.e., 257150410000 + 74962059264 = 507100^2 + 273792^2 .

It is a super-2 number, since 2×3321124692642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332112469264.

It is not an unprimeable number, because it can be changed into a prime (332112469261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2233132 + ... + 2377204.

Almost surely, 2332112469264 is an apocalyptic number.

332112469264 is the 576292-nd square number.

It is an amenable number.

332112469264 is a deficient number, since it is larger than the sum of its proper divisors (311359906229).

332112469264 is an frugal number, since it uses more digits than its factorization.

332112469264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288154 (or 144075 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The spelling of 332112469264 in words is "three hundred thirty-two billion, one hundred twelve million, four hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 144073 288146 576292 1152584 2305168 20757029329 41514058658 83028117316 166056234632 332112469264