Search a number
-
+
78023572929 = 3217254772
BaseRepresentation
bin100100010101010010…
…0010011110111000001
321110101121010011202100
41020222210103313001
52234243013313204
655502111541013
75431332266361
oct1105244236701
9243347104670
1078023572929
11300a9300185
1213155b2a769
137485822243
143ac24989a1
152069c15a39
hex122a913dc1

78023572929 has 27 divisors (see below), whose sum is σ = 119742000937. Its totient is φ = 48947028864.

The previous prime is 78023572871. The next prime is 78023572943. The reversal of 78023572929 is 92927532087.

The square root of 78023572929 is 279327.

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

It can be written as a sum of positive squares in 4 ways, for example, as 58963009329 + 19060563600 = 242823^2 + 138060^2 .

It is not a de Polignac number, because 78023572929 - 27 = 78023572801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78023570929) 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, 14242939 + ... + 14248415.

Almost surely, 278023572929 is an apocalyptic number.

78023572929 is the 279327-th square number.

78023572929 is the 139664-th centered octagonal number.

It is an amenable number.

78023572929 is a deficient number, since it is larger than the sum of its proper divisors (41718428008).

78023572929 is an frugal number, since it uses more digits than its factorization.

78023572929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 5497 counting only the distinct ones).

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

The spelling of 78023572929 in words is "seventy-eight billion, twenty-three million, five hundred seventy-two thousand, nine hundred twenty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 5477 16431 49293 93109 279327 837981 1582853 4748559 14245677 29997529 89992587 269977761 509957993 1529873979 4589621937 8669285881 26007857643 78023572929