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256401162320 = 24512172633537
BaseRepresentation
bin1110111011001010110…
…0110100000001010000
3220111211001000121001012
43232302230310001100
513200102144143240
6313442234430052
724344600630402
oct3566254640120
9814731017035
10256401162320
1199814854246
1241838292328
131b2422b52c4
14c5a4a08b72
156a09c94b65
hex3bb2b34050

256401162320 has 40 divisors (see below), whose sum is σ = 596622766824. Its totient is φ = 102476152832.

The previous prime is 256401162293. The next prime is 256401162343. The reversal of 256401162320 is 23261104652.

It can be written as a sum of positive squares in 4 ways, for example, as 5852862016 + 250548300304 = 76504^2 + 500548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1219409 + ... + 1414128.

Almost surely, 2256401162320 is an apocalyptic number.

256401162320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256401162320 is an abundant number, since it is smaller than the sum of its proper divisors (340221604504).

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

256401162320 is a wasteful number, since it uses less digits than its factorization.

256401162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634767 (or 2634761 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 256401162320 its reverse (23261104652), we get a palindrome (279662266972).

The spelling of 256401162320 in words is "two hundred fifty-six billion, four hundred one million, one hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1217 2434 4868 6085 9736 12170 19472 24340 48680 97360 2633537 5267074 10534148 13167685 21068296 26335370 42136592 52670740 105341480 210682960 3205014529 6410029058 12820058116 16025072645 25640116232 32050145290 51280232464 64100290580 128200581160 256401162320