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152656648369 = 71255032
BaseRepresentation
bin1000111000101100001…
…0111001100010110001
3112121000220102020022121
42032023002321202301
510000120100221434
6154043545434241
714012655046531
oct2161302714261
9477026366277
10152656648369
1159817775415
122570449b981
131151aa97944
14756253b4c1
153e86e4e7b4
hex238b0b98b1

152656648369 has 9 divisors (see below), whose sum is σ = 154865166969. Its totient is φ = 150479204820.

The previous prime is 152656648349. The next prime is 152656648387. The reversal of 152656648369 is 963846656251.

The square root of 152656648369 is 390713.

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

It is not a de Polignac number, because 152656648369 - 217 = 152656517297 is a prime.

It is a super-2 number, since 2×1526566483692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152656648349) 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 8 ways as a sum of consecutive naturals, for example, 27737872 + ... + 27743374.

Almost surely, 2152656648369 is an apocalyptic number.

152656648369 is the 390713-rd square number.

152656648369 is the 195357-th centered octagonal number.

It is an amenable number.

152656648369 is a deficient number, since it is larger than the sum of its proper divisors (2208518600).

152656648369 is an frugal number, since it uses more digits than its factorization.

152656648369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11148 (or 5574 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 61.

It can be divided in two parts, 152656 and 648369, that added together give a square (801025 = 8952).

The spelling of 152656648369 in words is "one hundred fifty-two billion, six hundred fifty-six million, six hundred forty-eight thousand, three hundred sixty-nine".

Divisors: 1 71 5041 5503 390713 27740623 30283009 2150093639 152656648369