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6555258984976 = 241325329292
BaseRepresentation
bin101111101100100001111…
…1000100001101000010000
3212012200021021021112220221
41133121003320201220100
51324400132300004401
621535235554042424
71244413300004152
oct137310370415020
925180237245827
106555258984976
1120a8084890179
1289a552b79414
13387209946400
141893c1d7cad2
15b57b5ec37a1
hex5f643e21a10

6555258984976 has 135 divisors (see below), whose sum is σ = 14032443323829. Its totient is φ = 2965223878656.

The previous prime is 6555258984971. The next prime is 6555258984977. The reversal of 6555258984976 is 6794898525556.

The square root of 6555258984976 is 2560324.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6551941224976 + 3317760000 = 2559676^2 + 57600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6555258984896 and 6555258984905.

It is not an unprimeable number, because it can be changed into a prime (6555258984971) 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 26 ways as a sum of consecutive naturals, for example, 7056252480 + ... + 7056253408.

Almost surely, 26555258984976 is an apocalyptic number.

6555258984976 is the 2560324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6555258984976

6555258984976 is an abundant number, since it is smaller than the sum of its proper divisors (7477184338853).

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

6555258984976 is an frugal number, since it uses more digits than its factorization.

6555258984976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 997 counting only the distinct ones).

The product of its digits is 6531840000, while the sum is 79.

The spelling of 6555258984976 in words is "six trillion, five hundred fifty-five billion, two hundred fifty-eight million, nine hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 169 208 212 338 424 676 689 848 929 1352 1378 1858 2704 2756 2809 3716 5512 5618 7432 8957 11024 11236 12077 14864 17914 22472 24154 35828 36517 44944 48308 49237 71656 73034 96616 98474 143312 146068 157001 193232 196948 292136 314002 393896 474721 584272 628004 640081 787792 863041 949442 1256008 1280162 1726082 1898884 2512016 2560324 2609561 3452164 3797768 5120648 5219122 6904328 7595536 8321053 10241296 10438244 11219533 13808656 16642106 20876488 22439066 33284212 33924293 41752976 44878132 45741173 66568424 67848586 89756264 91482346 133136848 135697172 145853929 179512528 182964692 271394344 291707858 365929384 441015809 542788688 583415716 594635249 731858768 882031618 1166831432 1189270498 1764063236 2333662864 2378540996 2424282169 3528126472 4757081992 4848564338 7056252944 7730258237 9514163984 9697128676 15460516474 19394257352 30921032948 31515668197 38788514704 61842065896 63031336394 123684131792 126062672788 252125345576 409703686561 504250691152 819407373122 1638814746244 3277629492488 6555258984976