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79991000253 = 35617983823
BaseRepresentation
bin100101001111111010…
…1011100110010111101
321122110201011211200000
41022133311130302331
52302310144002003
6100425232424513
75531152166163
oct1123765346275
9248421154600
1079991000253
1130a1891a47a
12136049a8139
13770a303618
143c2b8b5233
1521327e21a3
hex129fd5ccbd

79991000253 has 96 divisors (see below), whose sum is σ = 124965335040. Its totient is φ = 51103016640.

The previous prime is 79991000231. The next prime is 79991000261. The reversal of 79991000253 is 35200019997.

It is a happy number.

79991000253 is a nontrivial binomial coefficient, being equal to C(399978, 2).

It is not a de Polignac number, because 79991000253 - 26 = 79991000189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 79991000199 and 79991000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79991000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97194000 + ... + 97194822.

It is an arithmetic number, because the mean of its divisors is an integer number (1301722240).

Almost surely, 279991000253 is an apocalyptic number.

79991000253 is the 399977-th triangular number and also the 199989-th hexagonal number.

It is an amenable number.

79991000253 is a deficient number, since it is larger than the sum of its proper divisors (44974334787).

79991000253 is an equidigital number, since it uses as much as digits as its factorization.

79991000253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 79991000253 in words is "seventy-nine billion, nine hundred ninety-one million, two hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 9 27 61 79 81 83 183 237 243 249 549 711 747 823 1647 2133 2241 2469 4819 4941 5063 6399 6557 6723 7407 14457 14823 15189 19197 19671 20169 22221 43371 45567 50203 59013 65017 66663 68309 130113 136701 150609 177039 195051 199989 204927 390339 399977 410103 451827 531117 585153 614781 1171017 1199931 1230309 1355481 1593351 1755459 1844343 3599793 3966037 4066443 4166849 5266377 5396411 5533029 10799379 11898111 12199329 12500547 15799131 16189233 16599087 32398137 35694333 37501641 48567699 97194411 107082999 112504923 145703097 321248997 329181071 337514769 437109291 963746991 987543213 1012544307 1311327873 2962629639 8887888917 26663666751 79991000253