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23840719641 = 3217509306133
BaseRepresentation
bin10110001101000001…
…001000001100011001
32021112111112001010100
4112031001020030121
5342311211012031
614541405210013
71502536526154
oct261501101431
967474461110
1023840719641
11a124512592
124754260909
13232c2cb2cb
141222416c9b
1594802bde6
hex58d048319

23840719641 has 24 divisors (see below), whose sum is σ = 36534031560. Its totient is φ = 14929445376.

The previous prime is 23840719631. The next prime is 23840719681. The reversal of 23840719641 is 14691704832.

23840719641 is a `hidden beast` number, since 238 + 407 + 1 + 9 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18341014041 + 5499705600 = 135429^2 + 74160^2 .

It is a de Polignac number, because none of the positive numbers 2k-23840719641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23840719631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75190 + ... + 230943.

It is an arithmetic number, because the mean of its divisors is an integer number (1522251315).

Almost surely, 223840719641 is an apocalyptic number.

It is an amenable number.

23840719641 is a deficient number, since it is larger than the sum of its proper divisors (12693311919).

23840719641 is a wasteful number, since it uses less digits than its factorization.

23840719641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306665 (or 306662 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23840719641 in words is "twenty-three billion, eight hundred forty million, seven hundred nineteen thousand, six hundred forty-one".

Divisors: 1 3 9 17 51 153 509 1527 4581 8653 25959 77877 306133 918399 2755197 5204261 15612783 46838349 155821697 467465091 1402395273 2648968849 7946906547 23840719641