Search a number
-
+
23508213545341 = 72499396086413
BaseRepresentation
bin1010101100001011011101…
…01101111011100101111101
310002020100210211011211101101
411112011232231323211331
511040124310131422331
6121555305121413101
74644261306106600
oct526055655734575
9102210724154341
1023508213545341
117543860763408
12277807119a191
131016a797c22b5
145b3b3714c337
152ab78133b061
hex15616eb7b97d

23508213545341 has 12 divisors (see below), whose sum is σ = 27351766436412. Its totient is φ = 20145861485568.

The previous prime is 23508213545329. The next prime is 23508213545359. The reversal of 23508213545341 is 14354531280532.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16743064565241 + 6765148980100 = 4091829^2 + 2600990^2 .

It is a de Polignac number, because none of the positive numbers 2k-23508213545341 is a prime.

It is a super-2 number, since 2×235082135453412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23508213545291 and 23508213545300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23508613545341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47798550 + ... + 48287863.

It is an arithmetic number, because the mean of its divisors is an integer number (2279313869701).

Almost surely, 223508213545341 is an apocalyptic number.

It is an amenable number.

23508213545341 is a deficient number, since it is larger than the sum of its proper divisors (3843552891071).

23508213545341 is an equidigital number, since it uses as much as digits as its factorization.

23508213545341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96091420 (or 96091413 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 23508213545341 in words is "twenty-three trillion, five hundred eight billion, two hundred thirteen million, five hundred forty-five thousand, three hundred forty-one".

Divisors: 1 7 49 4993 34951 244657 96086413 672604891 4708234237 479759460109 3358316220763 23508213545341