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925420912144 = 2429282932
BaseRepresentation
bin11010111011101110110…
…00100111111000010000
310021110200011201012221221
431131313120213320100
5110130230223142034
61545044341454424
7123600535652011
oct15356730477020
93243604635857
10925420912144
11327517a853a3
1212b429711414
1369361276561
1432b0d619008
1519114143bb4
hexd777627e10

925420912144 has 45 divisors (see below), whose sum is σ = 1857186643143. Its totient is φ = 446701051776.

The previous prime is 925420912081. The next prime is 925420912151. The reversal of 925420912144 is 441219024529.

The square root of 925420912144 is 961988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68152323600 + 857268588544 = 261060^2 + 925888^2 .

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 925420912144.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111586462 + ... + 111594754.

Almost surely, 2925420912144 is an apocalyptic number.

925420912144 is the 961988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925420912144

925420912144 is an abundant number, since it is smaller than the sum of its proper divisors (931765730999).

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

925420912144 is an frugal number, since it uses more digits than its factorization.

925420912144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16652 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 925420912144 in words is "nine hundred twenty-five billion, four hundred twenty million, nine hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 8293 13456 16586 33172 66344 132688 240497 480994 961988 1923976 3847952 6974413 13948826 27897652 55795304 68773849 111590608 137547698 275095396 550190792 1100381584 1994441621 3988883242 7977766484 15955532968 31911065936 57838807009 115677614018 231355228036 462710456072 925420912144