Search a number
-
+
23424608601 = 3217230012
BaseRepresentation
bin10101110100001101…
…110010100101011001
32020110111112102002100
4111310031302211121
5340433144433401
614432222354013
71456324613352
oct256415624531
966414472070
1023424608601
119a30643169
124658a2b909
132294038764
1411c305ad29
15921734b86
hex574372959

23424608601 has 27 divisors (see below), whose sum is σ = 35954930973. Its totient is φ = 14692896000.

The previous prime is 23424608593. The next prime is 23424608651. The reversal of 23424608601 is 10680642432.

The square root of 23424608601 is 153051.

It is a perfect power (a square), and thus also a powerful number.

23424608601 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 46 + 0 + 8 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2508507225 + 20916101376 = 50085^2 + 144624^2 .

It is not a de Polignac number, because 23424608601 - 23 = 23424608593 is a prime.

It is a super-2 number, since 2×234246086012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23424608651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7804101 + ... + 7807101.

Almost surely, 223424608601 is an apocalyptic number.

23424608601 is the 153051-st square number.

23424608601 is the 76526-th centered octagonal number.

It is an amenable number.

23424608601 is a deficient number, since it is larger than the sum of its proper divisors (12530322372).

23424608601 is an frugal number, since it uses more digits than its factorization.

23424608601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 23424608601 by its sum of digits (36), we get a square (843285909636 = 9183062).

It can be divided in two parts, 23424 and 608601, that added together give a square (632025 = 7952).

The spelling of 23424608601 in words is "twenty-three billion, four hundred twenty-four million, six hundred eight thousand, six hundred one".

Divisors: 1 3 9 17 51 153 289 867 2601 3001 9003 27009 51017 153051 459153 867289 2601867 7805601 9006001 27018003 81054009 153102017 459306051 1377918153 2602734289 7808202867 23424608601