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23348361125 = 537921732
BaseRepresentation
bin10101101111101010…
…111011011110100101
32020021012001122012202
4111233222323132211
5340304140024000
614420500224245
71454410536455
oct255752733645
966235048182
1023348361125
1199a15a5321
12463739b085
1322812c03cb
1411b6c8dd65
15919bc2dd5
hex56fabb7a5

23348361125 has 36 divisors (see below), whose sum is σ = 29683845828. Its totient is φ = 18335647200.

The previous prime is 23348361121. The next prime is 23348361137. The reversal of 23348361125 is 52116384332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 365497924 + 22982863201 = 19118^2 + 151601^2 .

It is not a de Polignac number, because 23348361125 - 22 = 23348361121 is a prime.

It is a super-2 number, since 2×233483611252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23348361121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134961539 + ... + 134961711.

It is an arithmetic number, because the mean of its divisors is an integer number (824551273).

Almost surely, 223348361125 is an apocalyptic number.

23348361125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23348361125 is a deficient number, since it is larger than the sum of its proper divisors (6335484703).

23348361125 is an frugal number, since it uses more digits than its factorization.

23348361125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 257 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The spelling of 23348361125 in words is "twenty-three billion, three hundred forty-eight million, three hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 79 125 173 395 865 1975 4325 6241 9875 13667 21625 29929 31205 68335 149645 156025 341675 748225 780125 1079693 1708375 2364391 3741125 5398465 11821955 26992325 59109775 134961625 186786889 295548875 933934445 4669672225 23348361125