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24916000769 = 116142018839
BaseRepresentation
bin10111001101000111…
…000000000000000001
32101022102211222112022
4113031013000000001
5402011444011034
615240220211225
71541304340442
oct271507000001
971272758468
1024916000769
11a626484180
1249b4399b15
132471005a2a
1412c515d2c9
159ac62db2e
hex5cd1c0001

24916000769 has 16 divisors (see below), whose sum is σ = 27636385920. Its totient is φ = 22271760000.

The previous prime is 24916000757. The next prime is 24916000771. The reversal of 24916000769 is 96700061942.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-24916000769 is a prime.

It is a super-2 number, since 2×249160007692 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (24916000709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814452 + ... + 2823290.

It is an arithmetic number, because the mean of its divisors is an integer number (1727274120).

It is a Proth number, since it is equal to 95047 ⋅ 218 + 1 and 95047 < 218.

Almost surely, 224916000769 is an apocalyptic number.

It is an amenable number.

24916000769 is a deficient number, since it is larger than the sum of its proper divisors (2720385151).

24916000769 is a wasteful number, since it uses less digits than its factorization.

24916000769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112.

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 24916000769 in words is "twenty-four billion, nine hundred sixteen million, seven hundred sixty-nine", and thus it is an aban number.

Divisors: 1 11 61 671 4201 8839 46211 97229 256261 539179 2818871 5930969 37132639 408459029 2265090979 24916000769