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332130522656400 = 2435213231019165053
BaseRepresentation
bin100101110000100100010100…
…1110100100110111010010000
31121112222100221011220010201120
41023201020221310212322100
5322013111302300001100
63134214353350002240
7126646431654020316
oct11341105164467220
91545870834803646
10332130522656400
1196910844461a26
1231301154046380
1311342a0a3385a0
145c032bb3100b6
15285e7252ba0a0
hex12e1229d26e90

332130522656400 has 480 divisors, whose sum is σ = 1207418584764672. Its totient is φ = 77426359296000.

The previous prime is 332130522656389. The next prime is 332130522656507. The reversal of 332130522656400 is 4656225031233.

It is a super-2 number, since 2×3321305226564002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31656274 + ... + 40821326.

Almost surely, 2332130522656400 is an apocalyptic number.

332130522656400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332130522656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603709292382336).

332130522656400 is an abundant number, since it is smaller than the sum of its proper divisors (875288062108272).

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

332130522656400 is a wasteful number, since it uses less digits than its factorization.

332130522656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165211 (or 9165200 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 332130522656400 its reverse (4656225031233), we get a palindrome (336786747687633).

The spelling of 332130522656400 in words is "three hundred thirty-two trillion, one hundred thirty billion, five hundred twenty-two million, six hundred fifty-six thousand, four hundred".