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152305452045 = 32532211050781
BaseRepresentation
bin1000110111011000011…
…1001100010000001101
3112120010102120121112100
42031312013030100031
54443410143431140
6153545042225313
714001161660535
oct2156607142015
9476112517470
10152305452045
115965750341a
1225626955239
13114930b3076
14752ba3c4c5
153e661cb530
hex23761cc40d

152305452045 has 24 divisors (see below), whose sum is σ = 264078329112. Its totient is φ = 81204278400.

The previous prime is 152305452023. The next prime is 152305452107. The reversal of 152305452045 is 540254503251.

152305452045 is a `hidden beast` number, since 1 + 52 + 3 + 0 + 545 + 20 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14169093156 + 138136358889 = 119034^2 + 371667^2 .

It is not a de Polignac number, because 152305452045 - 214 = 152305435661 is a prime.

It is a super-3 number, since 3×1523054520453 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 380446 + ... + 670335.

It is an arithmetic number, because the mean of its divisors is an integer number (11003263713).

Almost surely, 2152305452045 is an apocalyptic number.

152305452045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152305452045 is a deficient number, since it is larger than the sum of its proper divisors (111772877067).

152305452045 is a wasteful number, since it uses less digits than its factorization.

152305452045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054013 (or 1054010 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 152305452045 its reverse (540254503251), we get a palindrome (692559955296).

The spelling of 152305452045 in words is "one hundred fifty-two billion, three hundred five million, four hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 9 15 45 3221 9663 16105 28989 48315 144945 1050781 3152343 5253905 9457029 15761715 47285145 3384565601 10153696803 16922828005 30461090409 50768484015 152305452045