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4141627780 = 225476765761
BaseRepresentation
bin1111011011011100…
…0011100110000100
3101200122012111020111
43312313003212010
531440224042110
61522545242404
7204430153363
oct36667034604
911618174214
104141627780
111835928284
12977033404
1351007b934
142b409d7da
151938ede8a
hexf6dc3984

4141627780 has 48 divisors (see below), whose sum is σ = 9015181056. Its totient is φ = 1597178880.

The previous prime is 4141627753. The next prime is 4141627781. The reversal of 4141627780 is 877261414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4141627781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30100 + ... + 95860.

It is an arithmetic number, because the mean of its divisors is an integer number (187816272).

Almost surely, 24141627780 is an apocalyptic number.

It is an amenable number.

4141627780 is an abundant number, since it is smaller than the sum of its proper divisors (4873553276).

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

4141627780 is a wasteful number, since it uses less digits than its factorization.

4141627780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65884 (or 65882 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 4141627780 is about 64355.4797977608. The cubic root of 4141627780 is about 1605.9191921612.

It can be divided in two parts, 41416 and 27780, that added together give a palindrome (69196).

The spelling of 4141627780 in words is "four billion, one hundred forty-one million, six hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 47 67 94 134 188 235 268 335 470 670 940 1340 3149 6298 12596 15745 31490 62980 65761 131522 263044 328805 657610 1315220 3090767 4405987 6181534 8811974 12363068 15453835 17623948 22029935 30907670 44059870 61815340 88119740 207081389 414162778 828325556 1035406945 2070813890 4141627780