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79221105152 = 297217772
BaseRepresentation
bin100100111000111110…
…0100010001000000000
321120111001111010010122
41021301330202020000
52244221100331102
6100221011115412
75503113166100
oct1116174421000
9246431433118
1079221105152
1130663280932
121342aba2b68
1376169613a7
143b97545200
1520d9e150a2
hex1271f22200

79221105152 has 90 divisors (see below), whose sum is σ = 184234012677. Its totient is φ = 33932795904.

The previous prime is 79221105143. The next prime is 79221105179. The reversal of 79221105152 is 25150112297.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 79217479936 + 3625216 = 281456^2 + 1904^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=199024.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44580488 + ... + 44582264.

Almost surely, 279221105152 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 79221105152

79221105152 is an abundant number, since it is smaller than the sum of its proper divisors (105012907525).

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

79221105152 is an frugal number, since it uses more digits than its factorization.

79221105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 79221105152 in words is "seventy-nine billion, two hundred twenty-one million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1777 1792 3136 3554 3584 6272 7108 12439 12544 14216 24878 25088 28432 49756 56864 87073 99512 113728 174146 199024 227456 348292 398048 454912 696584 796096 909824 1393168 1592192 2786336 3157729 3184384 5572672 6315458 6368768 11145344 12630916 22104103 22290688 25261832 44208206 44581376 50523664 88416412 101047328 154728721 176832824 202094656 309457442 353665648 404189312 618914884 707331296 808378624 1237829768 1414662592 1616757248 2475659536 2829325184 4951319072 5658650368 9902638144 11317300736 19805276288 39610552576 79221105152