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152611303673 = 379777355009
BaseRepresentation
bin1000111000100001010…
…1111011000011111001
3112120220202002111002102
42032020111323003321
510000021443204143
6154035245513145
714011564451333
oct2161025730371
9476822074072
10152611303673
11597a4114264
12256b12727b5
131151157c46a
14755a4d6453
153e82e940b8
hex238857b0f9

152611303673 has 16 divisors (see below), whose sum is σ = 158559503760. Its totient is φ = 146763104256.

The previous prime is 152611303657. The next prime is 152611303681. The reversal of 152611303673 is 376303116251.

152611303673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1311308944 + 151299994729 = 36212^2 + 388973^2 .

It is a cyclic number.

It is not a de Polignac number, because 152611303673 - 24 = 152611303657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152611303973) 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 15 ways as a sum of consecutive naturals, for example, 2746793 + ... + 2801801.

It is an arithmetic number, because the mean of its divisors is an integer number (9909968985).

Almost surely, 2152611303673 is an apocalyptic number.

It is an amenable number.

152611303673 is a deficient number, since it is larger than the sum of its proper divisors (5948200087).

152611303673 is an equidigital number, since it uses as much as digits as its factorization.

152611303673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55916.

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 152611303673 in words is "one hundred fifty-two billion, six hundred eleven million, three hundred three thousand, six hundred seventy-three".

Divisors: 1 37 97 773 3589 28601 55009 74981 2035333 2774297 5335873 42521957 197427301 1573312409 4124629829 152611303673