Search a number
-
+
256025300556465 = 32511847876100261
BaseRepresentation
bin111010001101101010001001…
…000101111101101010110001
31020120111210001101210022101100
4322031222021011331222301
5232024204303420301330
62304304222132355013
7104633134422526326
oct7215521105755261
91216453041708340
10256025300556465
11746397a1664390
122486b503175a69
13acb210b90c2cb
144731995280b4d
151e8ec13e28060
hexe8da8917dab1

256025300556465 has 48 divisors (see below), whose sum is σ = 484126357530816. Its totient is φ = 124131994646400.

The previous prime is 256025300556449. The next prime is 256025300556479. The reversal of 256025300556465 is 564655003520652.

256025300556465 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 25 + 3 + 0 + 0 + 556 + 4 + 65 = 666.

It is not a de Polignac number, because 256025300556465 - 24 = 256025300556449 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38919435 + ... + 45019695.

It is an arithmetic number, because the mean of its divisors is an integer number (10085965781892).

Almost surely, 2256025300556465 is an apocalyptic number.

It is an amenable number.

256025300556465 is a deficient number, since it is larger than the sum of its proper divisors (228101056974351).

256025300556465 is a wasteful number, since it uses less digits than its factorization.

256025300556465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185070 (or 6185067 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 256025300556465 in words is "two hundred fifty-six trillion, twenty-five billion, three hundred million, five hundred fifty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 84787 254361 423935 763083 932657 1271805 2797971 3815415 4663285 6100261 8393913 13989855 18300783 30501305 41969565 54902349 67102871 91503915 201308613 274511745 335514355 603925839 1006543065 3019629195 517222829407 1551668488221 2586114147035 4655005464663 5689451123477 7758342441105 17068353370431 23275027323315 28447255617385 51205060111293 85341766852155 256025300556465