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30454371627156 = 22322929170854049
BaseRepresentation
bin1101110110010101101100…
…00000001011000010010100
310222211102001112001222011200
412323022312000023002110
512442431023114032111
6144434313432032500
76262153501450521
oct673126600130224
9128742045058150
1030454371627156
119781698926704
1234ba317532730
1313cbab1427b29
14773ddc6d0148
1537c2c4c49256
hex1bb2b600b094

30454371627156 has 36 divisors (see below), whose sum is σ = 79636431556500. Its totient is φ = 9801406960128.

The previous prime is 30454371627151. The next prime is 30454371627217. The reversal of 30454371627156 is 65172617345403.

30454371627156 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 4 + 3 + 7 + 1 + 627 + 1 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23767906554756 + 6686465072400 = 4875234^2 + 2585820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30454371627151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14585425981 + ... + 14585428068.

Almost surely, 230454371627156 is an apocalyptic number.

30454371627156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30454371627156 is an abundant number, since it is smaller than the sum of its proper divisors (49182059929344).

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

30454371627156 is a wasteful number, since it uses less digits than its factorization.

30454371627156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29170854088 (or 29170854083 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 30454371627156 in words is "thirty trillion, four hundred fifty-four billion, three hundred seventy-one million, six hundred twenty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 29170854049 58341708098 87512562147 116683416196 175025124294 262537686441 350050248588 525075372882 845954767421 1050150745764 1691909534842 2537864302263 3383819069684 5075728604526 7613592906789 10151457209052 15227185813578 30454371627156