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69980368892329 = 76296
BaseRepresentation
bin11111110100101100100110…
…00001110111000110101001
3100011210001120020020011200201
433322112103001313012221
533133024243414023304
6404500312044432201
720511625531000000
oct1772262301670651
9304701506204621
1069980368892329
11203305649453a5
127a227b7b48661
13300817489b46c
14133d0d4567c37
1581553b3463a4
hex3fa5930771a9

69980368892329 has 49 divisors (see below), whose sum is σ = 84559509728827. Its totient is φ = 57914788048824.

The previous prime is 69980368892323. The next prime is 69980368892333. The reversal of 69980368892329 is 92329886308996.

The square root of 69980368892329 is 8365427.

The cubic root of 69980368892329 is 41209.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 29888930923929 + 40091437968400 = 5467077^2 + 6331780^2 .

It is a tau number, because it is divible by the number of its divisors (49).

It is not a de Polignac number, because 69980368892329 - 235 = 69946009153961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (69980368892323) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 2413116168687 + ... + 2413116168715.

Almost surely, 269980368892329 is an apocalyptic number.

69980368892329 is the 8365427-th square number.

69980368892329 is the 4182714-th centered octagonal number.

It is an amenable number.

69980368892329 is a deficient number, since it is larger than the sum of its proper divisors (14579140836498).

69980368892329 is an frugal number, since it uses more digits than its factorization.

69980368892329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4353564672, while the sum is 82.

The spelling of 69980368892329 in words is "sixty-nine trillion, nine hundred eighty billion, three hundred sixty-eight million, eight hundred ninety-two thousand, three hundred twenty-nine".

Divisors: 1 7 29 49 203 343 841 1421 2401 5887 9947 16807 24389 41209 69629 117649 170723 288463 487403 707281 1195061 2019241 3411821 4950967 8365427 14134687 20511149 34656769 58557989 98942809 143578043 242597383 409905923 594823321 1005046301 1698181681 2869341461 4163763247 7035324107 11887271767 29146342729 49247268749 83210902369 204024399103 344730881243 1428170793721 2413116168701 9997195556047 69980368892329