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479823209141 = 4153220811417
BaseRepresentation
bin1101111101101111011…
…00010010001010110101
31200212111201000112112012
412332313230102022311
530330134220143031
61004232220334005
746444315661243
oct6766754221265
91625451015465
10479823209141
11175545768931
1278bab9a4305
1336329c53b83
141931b67b793
15c7345e4b2b
hex6fb7b122b5

479823209141 has 8 divisors (see below), whose sum is σ = 500800296024. Its totient is φ = 459287745280.

The previous prime is 479823209137. The next prime is 479823209161. The reversal of 479823209141 is 141902328974.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26787868900 + 453035340241 = 163670^2 + 673079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 479823209141 - 22 = 479823209137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 479823209141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479823209161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110403536 + ... + 110407881.

It is an arithmetic number, because the mean of its divisors is an integer number (62600037003).

Almost surely, 2479823209141 is an apocalyptic number.

479823209141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

479823209141 is a deficient number, since it is larger than the sum of its proper divisors (20977086883).

479823209141 is a wasteful number, since it uses less digits than its factorization.

479823209141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220811511.

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 479823209141 in words is "four hundred seventy-nine billion, eight hundred twenty-three million, two hundred nine thousand, one hundred forty-one".

Divisors: 1 41 53 2173 220811417 9053268097 11703005101 479823209141