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480472638012 = 223283160800749
BaseRepresentation
bin1101111110111100110…
…01101010001000111100
31200221011222000221110100
412333132121222020330
530333001443404022
61004420500041100
746466363016003
oct6773631521074
91627158027410
10480472638012
11175849307404
1279151393190
1336401667c03
141937da0dc3a
15c7716281ac
hex6fde66a23c

480472638012 has 36 divisors (see below), whose sum is σ = 1229160933000. Its totient is φ = 158227936032.

The previous prime is 480472637987. The next prime is 480472638013. The reversal of 480472638012 is 210836274084.

It is a happy number.

480472638012 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 7 + 2 + 638 + 0 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480472638013) 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 11 ways as a sum of consecutive naturals, for example, 80397387 + ... + 80403362.

It is an arithmetic number, because the mean of its divisors is an integer number (34143359250).

Almost surely, 2480472638012 is an apocalyptic number.

It is an amenable number.

480472638012 is an abundant number, since it is smaller than the sum of its proper divisors (748688294988).

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

480472638012 is a wasteful number, since it uses less digits than its factorization.

480472638012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160800842 (or 160800837 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 480472638012 in words is "four hundred eighty billion, four hundred seventy-two million, six hundred thirty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 160800749 321601498 482402247 643202996 964804494 1447206741 1929608988 2894413482 5788826964 13346462167 26692924334 40039386501 53385848668 80078773002 120118159503 160157546004 240236319006 480472638012