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425963006144 = 26131932652719
BaseRepresentation
bin1100011001011010101…
…11111010100011000000
31111201111002112201212222
412030231113322203000
523434333012144034
6523403521310212
742526521545324
oct6145527724300
91451432481788
10425963006144
11154717015175
126a67a195368
133122552b580
141688c3c7984
15b130de112e
hex632d5fa8c0

425963006144 has 56 divisors (see below), whose sum is σ = 915008015040. Its totient is φ = 195579592704.

The previous prime is 425963006143. The next prime is 425963006159. The reversal of 425963006144 is 441600369524.

It is a junction number, because it is equal to n+sod(n) for n = 425963006095 and 425963006104.

It is not an unprimeable number, because it can be changed into a prime (425963006141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1165784 + ... + 1486935.

It is an arithmetic number, because the mean of its divisors is an integer number (16339428840).

Almost surely, 2425963006144 is an apocalyptic number.

It is an amenable number.

425963006144 is an abundant number, since it is smaller than the sum of its proper divisors (489045008896).

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

425963006144 is a wasteful number, since it uses less digits than its factorization.

425963006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652937 (or 2652927 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 425963006144 in words is "four hundred twenty-five billion, nine hundred sixty-three million, six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 193 208 386 416 772 832 1544 2509 3088 5018 6176 10036 12352 20072 40144 80288 160576 2652719 5305438 10610876 21221752 34485347 42443504 68970694 84887008 137941388 169774016 275882776 511974767 551765552 1023949534 1103531104 2047899068 2207062208 4095798136 6655671971 8191596272 13311343942 16383192544 26622687884 32766385088 53245375768 106490751536 212981503072 425963006144