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153052434035 = 51719713673637
BaseRepresentation
bin1000111010001010100…
…0101100111001110011
3112122001111011020011222
42032202220230321303
510001422410342120
6154151124455255
714025532136564
oct2164250547163
9478044136158
10153052434035
1159a00122006
12257b4b4a52b
1311581a91c47
14759cd2616b
153eaba7e525
hex23a2a2ce73

153052434035 has 64 divisors (see below), whose sum is σ = 208207687680. Its totient is φ = 107313776640.

The previous prime is 153052434013. The next prime is 153052434097. The reversal of 153052434035 is 530434250351.

It is a happy number.

153052434035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153052434035 - 26 = 153052433971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153052433986 and 153052434004.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42080237 + ... + 42083873.

It is an arithmetic number, because the mean of its divisors is an integer number (3253245120).

Almost surely, 2153052434035 is an apocalyptic number.

153052434035 is a deficient number, since it is larger than the sum of its proper divisors (55155253645).

153052434035 is a wasteful number, since it uses less digits than its factorization.

153052434035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116.

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 153052434035 its reverse (530434250351), we get a palindrome (683486684386).

The spelling of 153052434035 in words is "one hundred fifty-three billion, fifty-two million, four hundred thirty-four thousand, thirty-five".

Divisors: 1 5 17 19 71 85 95 323 355 367 1207 1349 1615 1835 3637 6035 6239 6745 6973 18185 22933 26057 31195 34865 61829 69103 114665 118541 130285 258227 309145 345515 442969 495083 592705 1174751 1291135 1334779 2214845 2475415 4389859 4906313 5873755 6673895 8416411 21949295 22691243 24531565 25360801 42082055 83407321 94769309 113456215 126804005 417036605 431133617 473846545 1611078253 1800616871 2155668085 8055391265 9003084355 30610486807 153052434035