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79970023584 = 253211241104743
BaseRepresentation
bin100101001111010010…
…1011011100010100000
321122102020201010002100
41022132211123202200
52302234311223314
6100423203050400
75530505661543
oct1123645334240
9248366633070
1079970023584
1130a07aa2390
12135b9970a00
137705b6a7a9
143c28bb485a
152130a4bc09
hex129e95b8a0

79970023584 has 144 divisors (see below), whose sum is σ = 249120615744. Its totient is φ = 24132556800.

The previous prime is 79970023583. The next prime is 79970023597. The reversal of 79970023584 is 48532007997.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 79970023584.

It is not an unprimeable number, because it can be changed into a prime (79970023583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711117 + ... + 815859.

It is an arithmetic number, because the mean of its divisors is an integer number (1730004276).

Almost surely, 279970023584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79970023584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124560307872).

79970023584 is an abundant number, since it is smaller than the sum of its proper divisors (169150592160).

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

79970023584 is a wasteful number, since it uses less digits than its factorization.

79970023584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105011 (or 105000 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 79970023584 in words is "seventy-nine billion, nine hundred seventy million, twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 241 264 288 352 396 482 528 723 792 964 1056 1446 1584 1928 2169 2651 2892 3168 3856 4338 5302 5784 7712 7953 8676 10604 11568 15906 17352 21208 23136 23859 31812 34704 42416 47718 63624 69408 84832 95436 104743 127248 190872 209486 254496 314229 381744 418972 628458 763488 837944 942687 1152173 1256916 1675888 1885374 2304346 2513832 3351776 3456519 3770748 4608692 5027664 6913038 7541496 9217384 10055328 10369557 13826076 15082992 18434768 20739114 25243063 27652152 30165984 36869536 41478228 50486126 55304304 75729189 82956456 100972252 110608608 151458378 165912912 201944504 227187567 277673693 302916756 331825824 403889008 454375134 555347386 605833512 807778016 833021079 908750268 1110694772 1211667024 1666042158 1817500536 2221389544 2423334048 2499063237 3332084316 3635001072 4442779088 4998126474 6664168632 7270002144 8885558176 9996252948 13328337264 19992505896 26656674528 39985011792 79970023584