Search a number
-
+
255397922482464 = 25321528958002377
BaseRepresentation
bin111010000100100001110110…
…011100100010100100100000
31020111021210200100020222211100
4322010201312130202210200
5231433414421123414324
62303104104051114400
7104536614415063506
oct7204416634424440
91214253610228740
10255397922482464
1174417718038653
12247899b35a2a00
13ac67bc7b68918
14470d47aca0676
151e7d7457434c9
hexe84876722920

255397922482464 has 72 divisors (see below), whose sum is σ = 726335358528780. Its totient is φ = 85127071131648.

The previous prime is 255397922482463. The next prime is 255397922482513. The reversal of 255397922482464 is 464284229793552.

255397922482464 is a `hidden beast` number, since 2 + 5 + 5 + 39 + 7 + 92 + 2 + 48 + 2 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242010665982864 + 13387256499600 = 15556692^2 + 3658860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2553979224824642 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 255397922482392 and 255397922482401.

It is not an unprimeable number, because it can be changed into a prime (255397922482463) 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 11 ways as a sum of consecutive naturals, for example, 24597957 + ... + 33404420.

Almost surely, 2255397922482464 is an apocalyptic number.

255397922482464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

255397922482464 is an abundant number, since it is smaller than the sum of its proper divisors (470937436046316).

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

255397922482464 is a wasteful number, since it uses less digits than its factorization.

255397922482464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58017682 (or 58017671 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 255397922482464 in words is "two hundred fifty-five trillion, three hundred ninety-seven billion, nine hundred twenty-two million, four hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 15289 30578 45867 61156 91734 122312 137601 183468 244624 275202 366936 489248 550404 733872 1100808 1467744 2201616 4403232 58002377 116004754 174007131 232009508 348014262 464019016 522021393 696028524 928038032 1044042786 1392057048 1856076064 2088085572 2784114096 4176171144 5568228192 8352342288 16704684576 886798341953 1773596683906 2660395025859 3547193367812 5320790051718 7094386735624 7981185077577 10641580103436 14188773471248 15962370155154 21283160206872 28377546942496 31924740310308 42566320413744 63849480620616 85132640827488 127698961241232 255397922482464