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23634530153 = 1331313214397
BaseRepresentation
bin10110000000101110…
…100100111101101001
32021000010112112022122
4112000232210331221
5341400414431103
614505122001025
71464454122503
oct260056447551
967003475278
1023634530153
11a029092353
1246b71a6175
1322c86879b0
141202ca2d73
15934d9db38
hex580ba4f69

23634530153 has 16 divisors (see below), whose sum is σ = 25559029776. Its totient is φ = 21725383680.

The previous prime is 23634530081. The next prime is 23634530173. The reversal of 23634530153 is 35103543632.

It can be written as a sum of positive squares in 8 ways, for example, as 2111586304 + 21522943849 = 45952^2 + 146707^2 .

It is not a de Polignac number, because 23634530153 - 212 = 23634526057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23634530173) 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 15 ways as a sum of consecutive naturals, for example, 5372951 + ... + 5377347.

It is an arithmetic number, because the mean of its divisors is an integer number (1597439361).

Almost surely, 223634530153 is an apocalyptic number.

It is an amenable number.

23634530153 is a deficient number, since it is larger than the sum of its proper divisors (1924499623).

23634530153 is a wasteful number, since it uses less digits than its factorization.

23634530153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044.

The product of its (nonzero) digits is 97200, while the sum is 35.

The spelling of 23634530153 in words is "twenty-three billion, six hundred thirty-four million, five hundred thirty thousand, one hundred fifty-three".

Divisors: 1 13 313 1321 4069 4397 17173 57161 413473 1376261 5375149 5808437 17891393 75509681 1818040781 23634530153