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151812240506521 = 7217601732
BaseRepresentation
bin100010100001001010001010…
…101010101111111010011001
3201220112002221001201010011121
4202201022022222233322121
5124344242432032202041
61254513325215325241
743656033561663400
oct4241121252577231
9656462831633147
10151812240506521
1144410234035641
121503a290220821
136692aa9a1318a
14296ba74730637
151283eb88b47d1
hex8a128aaafe99

151812240506521 has 9 divisors (see below), whose sum is σ = 176598012755871. Its totient is φ = 130124703649752.

The previous prime is 151812240506477. The next prime is 151812240506561. The reversal of 151812240506521 is 125605042218151.

The square root of 151812240506521 is 12321211.

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

It can be written as a sum of positive squares in only one way, i.e., 83462932998025 + 68349307508496 = 9135805^2 + 8267364^2 .

It is not a de Polignac number, because 151812240506521 - 29 = 151812240506009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (151812240506561) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 85368391 + ... + 87128563.

It is an arithmetic number, because the mean of its divisors is an integer number (19622001417319).

Almost surely, 2151812240506521 is an apocalyptic number.

151812240506521 is the 12321211-st square number.

151812240506521 is the 6160606-th centered octagonal number.

It is an amenable number.

151812240506521 is a deficient number, since it is larger than the sum of its proper divisors (24785772249350).

151812240506521 is an frugal number, since it uses more digits than its factorization.

151812240506521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520360 (or 1760180 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 43.

The spelling of 151812240506521 in words is "one hundred fifty-one trillion, eight hundred twelve billion, two hundred forty million, five hundred six thousand, five hundred twenty-one".

Divisors: 1 7 49 1760173 12321211 86248477 3098208989929 21687462929503 151812240506521