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480121121084 = 221117096384929
BaseRepresentation
bin1101111110010010111…
…00101110100100111100
31200220021110121000212212
412333021130232210330
530331242001333314
61004321541515552
746454564123213
oct6771134564474
91626243530785
10480121121084
11175688946550
1279073712bb8
13363768a0427
141934906a07a
15c75083ee3e
hex6fc972e93c

480121121084 has 24 divisors (see below), whose sum is σ = 917131345200. Its totient is φ = 218109140480.

The previous prime is 480121121071. The next prime is 480121121089.

480121121084 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 480121121084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480121121089) 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, 3117269 + ... + 3267660.

It is an arithmetic number, because the mean of its divisors is an integer number (38213806050).

Almost surely, 2480121121084 is an apocalyptic number.

480121121084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480121121084 is a deficient number, since it is larger than the sum of its proper divisors (437010224116).

480121121084 is a wasteful number, since it uses less digits than its factorization.

480121121084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386653 (or 6386651 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 480121121084 in words is "four hundred eighty billion, one hundred twenty-one million, one hundred twenty-one thousand, eighty-four".

Divisors: 1 2 4 11 22 44 1709 3418 6836 18799 37598 75196 6384929 12769858 25539716 70234219 140468438 280936876 10911843661 21823687322 43647374644 120030280271 240060560542 480121121084