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23406104376 = 2332232614527
BaseRepresentation
bin10101110011000111…
…001100111100111000
32020102012201022001200
4111303013030330320
5340413430320001
614430322014200
71456011414234
oct256307147470
966365638050
1023406104376
119a21154716
1246527a7360
13229025a105
1411c08015c4
1591eccc086
hex5731ccf38

23406104376 has 72 divisors (see below), whose sum is σ = 66267626880. Its totient is φ = 7462803744.

The previous prime is 23406104329. The next prime is 23406104377. The reversal of 23406104376 is 67340160432.

It is a happy number.

23406104376 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 610 + 4 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23406104376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23406104377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 269176 + ... + 345351.

Almost surely, 223406104376 is an apocalyptic number.

It is an amenable number.

23406104376 is an abundant number, since it is smaller than the sum of its proper divisors (42861522504).

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

23406104376 is a wasteful number, since it uses less digits than its factorization.

23406104376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614585 (or 614555 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 23406104376 in words is "twenty-three billion, four hundred six million, one hundred four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 4232 4761 6348 9522 12696 19044 38088 614527 1229054 1843581 2458108 3687162 4916216 5530743 7374324 11061486 14134121 14748648 22122972 28268242 42402363 44245944 56536484 84804726 113072968 127207089 169609452 254414178 325084783 339218904 508828356 650169566 975254349 1017656712 1300339132 1950508698 2600678264 2925763047 3901017396 5851526094 7802034792 11703052188 23406104376