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40512221504 = 261016267361
BaseRepresentation
bin100101101110101101…
…110111000101000000
310212120100220002022022
4211232231313011000
51130432112042004
630335553301012
72632634125646
oct455655670500
9125510802268
1040512221504
11161aa1026a7
127a27564768
133a88226401
141d64625196
1510c19662be
hex96eb77140

40512221504 has 28 divisors (see below), whose sum is σ = 81187407348. Its totient is φ = 20055552000.

The previous prime is 40512221447. The next prime is 40512221537.

40512221504 is nontrivially palindromic in base 10.

40512221504 is digitally balanced in base 2, 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 2 ways, for example, as 17383895104 + 23128326400 = 131848^2 + 152080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3127217 + ... + 3140144.

Almost surely, 240512221504 is an apocalyptic number.

It is an amenable number.

40512221504 is an abundant number, since it is smaller than the sum of its proper divisors (40675185844).

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

40512221504 is a wasteful number, since it uses less digits than its factorization.

40512221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267474 (or 6267464 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 40512221504 in words is "forty billion, five hundred twelve million, two hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 6267361 12534722 25069444 50138888 100277776 200555552 401111104 633003461 1266006922 2532013844 5064027688 10128055376 20256110752 40512221504