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78873914025 = 3452794
BaseRepresentation
bin100100101110101000…
…0000110101010101001
321112120212011222110000
41021131100012222221
52243013210222100
6100122325413213
75461366131054
oct1113520065251
9245525158400
1078873914025
11304a52a5015
121335286a209
13758ca4c85a
143b633a9a9b
1520b96d3900
hex125d406aa9

78873914025 has 75 divisors (see below), whose sum is σ = 147974853191. Its totient is φ = 41533605360.

The previous prime is 78873914023. The next prime is 78873914039. The reversal of 78873914025 is 52041937887.

It is a happy number.

The square root of 78873914025 is 280845.

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

78873914025 is a `hidden beast` number, since 7 + 88 + 73 + 91 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28394609049 + 50479304976 = 168507^2 + 224676^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 78873914025 - 21 = 78873914023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78873914023) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 998403936 + ... + 998404014.

Almost surely, 278873914025 is an apocalyptic number.

78873914025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78873914025 is the 280845-th square number.

78873914025 is the 140423-rd centered octagonal number.

It is an amenable number.

78873914025 is a deficient number, since it is larger than the sum of its proper divisors (69100939166).

78873914025 is an frugal number, since it uses more digits than its factorization.

78873914025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 78873914025 in words is "seventy-eight billion, eight hundred seventy-three million, nine hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 79 81 135 225 237 395 405 675 711 1185 1975 2025 2133 3555 5925 6241 6399 10665 17775 18723 31205 31995 53325 56169 93615 156025 159975 168507 280845 468075 493039 505521 842535 1404225 1479117 2465195 2527605 4212675 4437351 7395585 12325975 12638025 13312053 22186755 36977925 38950081 39936159 66560265 110933775 116850243 194750405 199680795 332801325 350550729 584251215 973752025 998403975 1051652187 1752753645 2921256075 3154956561 5258260935 8763768225 15774782805 26291304675 78873914025