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78948074529 = 3273212832
BaseRepresentation
bin100100110000110101…
…1000000010000100001
321112210000201201112100
41021201223000100201
52243141201341104
6100133535121013
75463256363332
oct1114153002041
9245700651470
1078948074529
1130533147995
1213373673169
1375a2216ccc
143b6d192289
1520c0e82139
hex1261ac0421

78948074529 has 27 divisors (see below), whose sum is σ = 115709832147. Its totient is φ = 51870602016.

The previous prime is 78948074507. The next prime is 78948074539. The reversal of 78948074529 is 92547084987.

The square root of 78948074529 is 280977.

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

78948074529 is a `hidden beast` number, since 7 + 89 + 480 + 74 + 5 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44814773025 + 34133301504 = 211695^2 + 184752^2 .

It is not a de Polignac number, because 78948074529 - 227 = 78813856801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78948074539) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61533322 + ... + 61534604.

Almost surely, 278948074529 is an apocalyptic number.

78948074529 is the 280977-th square number.

78948074529 is the 140489-th centered octagonal number.

It is an amenable number.

78948074529 is a deficient number, since it is larger than the sum of its proper divisors (36761757618).

78948074529 is an frugal number, since it uses more digits than its factorization.

78948074529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 78948074529 in words is "seventy-eight billion, nine hundred forty-eight million, seventy-four thousand, five hundred twenty-nine".

Divisors: 1 3 9 73 219 657 1283 3849 5329 11547 15987 47961 93659 280977 842931 1646089 4938267 6837107 14814801 20511321 61533963 120164497 360493491 1081480473 8772008281 26316024843 78948074529