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79430506974 = 23271398349331
BaseRepresentation
bin100100111111001101…
…1010101100111011110
321121000122111211102200
41021332123111213132
52300133202210344
6100253451232330
75511235112040
oct1117633254736
9247018454380
1079430506974
11307604a5595
12134891486a6
13764b15abb0
143bb7293a90
1520ed4ca069
hex127e6d59de

79430506974 has 96 divisors (see below), whose sum is σ = 212034461184. Its totient is φ = 20926969920.

The previous prime is 79430506973. The next prime is 79430507011. The reversal of 79430506974 is 47960503497.

It is a happy number.

79430506974 is a `hidden beast` number, since 7 + 9 + 43 + 0 + 506 + 97 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 79430506974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79430506973) 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 47 ways as a sum of consecutive naturals, for example, 1585489 + ... + 1634819.

It is an arithmetic number, because the mean of its divisors is an integer number (2208692304).

Almost surely, 279430506974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79430506974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106017230592).

79430506974 is an abundant number, since it is smaller than the sum of its proper divisors (132603954210).

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

79430506974 is a wasteful number, since it uses less digits than its factorization.

79430506974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50342 (or 50339 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 79430506974 in words is "seventy-nine billion, four hundred thirty million, five hundred six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 983 1638 1966 2949 5898 6881 8847 12779 13762 17694 20643 25558 38337 41286 49331 61929 76674 89453 98662 115011 123858 147993 178906 230022 268359 295986 345317 443979 536718 641303 690634 805077 887958 1035951 1282606 1610154 1923909 2071902 3107853 3847818 4489121 5771727 6215706 8978242 11543454 13467363 26934726 40402089 48492373 80804178 96984746 145477119 290954238 339446611 436431357 630400849 678893222 872862714 1018339833 1260801698 1891202547 2036679666 3055019499 3782405094 4412805943 5673607641 6110038998 8825611886 11347215282 13238417829 26476835658 39715253487 79430506974