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23872813349 = 7116730715073
BaseRepresentation
bin10110001110111011…
…100011100100100101
32021121201220120102012
4112032323203210211
5342342420011344
614544513124005
71503406364630
oct261673434445
967551816365
1023872813349
11a140643010
124762b59605
132335b57278
1412267acc17
1594ac6b29e
hex58eee3925

23872813349 has 32 divisors (see below), whose sum is σ = 30308146176. Its totient is φ = 18263646720.

The previous prime is 23872813339. The next prime is 23872813357. The reversal of 23872813349 is 94331827832.

It is a happy number.

It is not a de Polignac number, because 23872813349 - 24 = 23872813333 is a prime.

It is a super-2 number, since 2×238728133492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23872813297 and 23872813306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23872813339) 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 31 ways as a sum of consecutive naturals, for example, 1576277 + ... + 1591349.

It is an arithmetic number, because the mean of its divisors is an integer number (947129568).

Almost surely, 223872813349 is an apocalyptic number.

It is an amenable number.

23872813349 is a deficient number, since it is larger than the sum of its proper divisors (6435332827).

23872813349 is a wasteful number, since it uses less digits than its factorization.

23872813349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15465.

The product of its digits is 1741824, while the sum is 50.

The spelling of 23872813349 in words is "twenty-three billion, eight hundred seventy-two million, eight hundred thirteen thousand, three hundred forty-nine".

Divisors: 1 7 11 67 77 307 469 737 2149 3377 5159 15073 20569 23639 105511 143983 165803 226259 1009891 1160621 1583813 4627411 7069237 11108801 32391877 50901521 77761607 310036537 356310647 2170255759 3410401907 23872813349