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189533120504 = 23713260347693
BaseRepresentation
bin1011000010000100001…
…1011110011111111000
3200010012220000010002212
42300201003132133320
511101130434324004
6223023104314252
716456543641230
oct2604103363770
9603186003085
10189533120504
1173420561772
1230896312988
1314b469a5060
14925dd48cc0
154de45e196e
hex2c210de7f8

189533120504 has 32 divisors (see below), whose sum is σ = 437384125920. Its totient is φ = 74980135296.

The previous prime is 189533120473. The next prime is 189533120507. The reversal of 189533120504 is 405021335981.

189533120504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189533120507) 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 7 ways as a sum of consecutive naturals, for example, 130173119 + ... + 130174574.

It is an arithmetic number, because the mean of its divisors is an integer number (13668253935).

Almost surely, 2189533120504 is an apocalyptic number.

189533120504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

189533120504 is an abundant number, since it is smaller than the sum of its proper divisors (247851005416).

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

189533120504 is a wasteful number, since it uses less digits than its factorization.

189533120504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260347719 (or 260347715 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 189533120504 in words is "one hundred eighty-nine billion, five hundred thirty-three million, one hundred twenty thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 260347693 520695386 1041390772 1822433851 2082781544 3384520009 3644867702 6769040018 7289735404 13538080036 14579470808 23691640063 27076160072 47383280126 94766560252 189533120504