Search a number
-
+
23853836448 = 253713157167
BaseRepresentation
bin10110001101110011…
…001010100010100000
32021120102012110000000
4112031303022202200
5342323040231243
614542554300000
71503056156451
oct261563124240
967512173000
1023853836448
11a130961422
124758727600
132331c41730
14122406d128
1594926d5d3
hex58dcca8a0

23853836448 has 384 divisors, whose sum is σ = 76790730240. Its totient is φ = 7249222656.

The previous prime is 23853836443. The next prime is 23853836453. The reversal of 23853836448 is 84463835832.

23853836448 is a `hidden beast` number, since 2 + 3 + 8 + 538 + 3 + 64 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (23853836443) and next prime (23853836453).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23853836394 and 23853836403.

It is not an unprimeable number, because it can be changed into a prime (23853836443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142837261 + ... + 142837427.

It is an arithmetic number, because the mean of its divisors is an integer number (199975860).

Almost surely, 223853836448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23853836448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395365120).

23853836448 is an abundant number, since it is smaller than the sum of its proper divisors (52936893792).

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

23853836448 is a wasteful number, since it uses less digits than its factorization.

23853836448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 342 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 23853836448 in words is "twenty-three billion, eight hundred fifty-three million, eight hundred thirty-six thousand, four hundred forty-eight".