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78809894361 = 321124721812
BaseRepresentation
bin100100101100101101…
…1111000110111011001
321112102101201102222100
41021121123320313121
52242400313104421
6100112121314013
75456661022602
oct1113133706731
9245371642870
1078809894361
1130472149100
1213335335909
13757c6c60b3
143b58aa2da9
1520b3c89c26
hex12596f8dd9

78809894361 has 81 divisors (see below), whose sum is σ = 128555214879. Its totient is φ = 46489053600.

The previous prime is 78809894351. The next prime is 78809894369. The reversal of 78809894361 is 16349890887.

The square root of 78809894361 is 280731.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 868421961 + 77941472400 = 29469^2 + 279180^2 .

It is not a de Polignac number, because 78809894361 - 211 = 78809892313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78809894369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 435413691 + ... + 435413871.

Almost surely, 278809894361 is an apocalyptic number.

78809894361 is the 280731-st square number.

78809894361 is the 140366-th centered octagonal number.

It is an amenable number.

78809894361 is a deficient number, since it is larger than the sum of its proper divisors (49745320518).

78809894361 is a wasteful number, since it uses less digits than its factorization.

78809894361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 78809894361 in words is "seventy-eight billion, eight hundred nine million, eight hundred ninety-four thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 47 99 121 141 181 363 423 517 543 1089 1551 1629 1991 2209 4653 5687 5973 6627 8507 17061 17919 19881 21901 24299 25521 32761 51183 65703 72897 76563 93577 98283 197109 218691 267289 280731 294849 360371 399829 801867 842193 1029347 1081113 1199487 1539767 2405601 3088041 3243339 3598461 3964081 4398119 4619301 9264123 11892243 13194357 13857903 16937437 35676729 39583071 48379309 50812311 72369049 145137927 152436933 186311807 217107147 435413781 558935421 651321441 796059539 1676806263 2388178617 7164535851 8756654929 26269964787 78809894361