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179938852864 = 21616572
BaseRepresentation
bin1010011110010100110…
…0010000000000000000
3122012110020200211010221
42213211030100000000
510422003321242424
6214355054032424
716000024004401
oct2474514200000
9565406624127
10179938852864
116a347878461
122aa591a8714
1313c78085404
1489cda3d9a8
154a3217a9e4
hex29e5310000

179938852864 has 51 divisors (see below), whose sum is σ = 360092275797. Its totient is φ = 89915129856.

The previous prime is 179938852853. The next prime is 179938852867. The reversal of 179938852864 is 468258839971.

The square root of 179938852864 is 424192.

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

179938852864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57293209600 + 122645643264 = 239360^2 + 350208^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 179938852793 and 179938852802.

It is not an unprimeable number, because it can be changed into a prime (179938852867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 108592324 + ... + 108593980.

Almost surely, 2179938852864 is an apocalyptic number.

179938852864 is the 424192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 179938852864

179938852864 is an abundant number, since it is smaller than the sum of its proper divisors (180153422933).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

179938852864 is an frugal number, since it uses more digits than its factorization.

179938852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 1659 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 70.

The spelling of 179938852864 in words is "one hundred seventy-nine billion, nine hundred thirty-eight million, eight hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1657 2048 3314 4096 6628 8192 13256 16384 26512 32768 53024 65536 106048 212096 424192 848384 1696768 2745649 3393536 5491298 6787072 10982596 13574144 21965192 27148288 43930384 54296576 87860768 108593152 175721536 351443072 702886144 1405772288 2811544576 5623089152 11246178304 22492356608 44984713216 89969426432 179938852864