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2255475326976 = 2143239112
BaseRepresentation
bin100000110100100100110…
…011100100000000000000
321222121202221202010200100
4200310210303210000000
5243423203140430401
64444052343522400
7321644531645154
oct40644463440000
97877687663610
102255475326976
1179a5a6027253
12305162159400
131348c8aa87c1
147b246535064
153da0b840b86
hex20d24ce4000

2255475326976 has 135 divisors (see below), whose sum is σ = 6517285162843. Its totient is φ = 751632875520.

The previous prime is 2255475326971. The next prime is 2255475326989. The reversal of 2255475326976 is 6796235745522.

The square root of 2255475326976 is 1501824.

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

2255475326976 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 4 + 7 + 532 + 6 + 97 + 6 = 666.

It is a super-2 number, since 2×22554753269762 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2255475326971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 576698461 + ... + 576702371.

Almost surely, 22255475326976 is an apocalyptic number.

2255475326976 is the 1501824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255475326976

2255475326976 is an abundant number, since it is smaller than the sum of its proper divisors (4261809835867).

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

2255475326976 is an frugal number, since it uses more digits than its factorization.

2255475326976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 3916 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 63.

The spelling of 2255475326976 in words is "two trillion, two hundred fifty-five billion, four hundred seventy-five million, three hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3911 4096 4608 6144 7822 8192 9216 11733 12288 15644 16384 18432 23466 24576 31288 35199 36864 46932 49152 62576 70398 73728 93864 125152 140796 147456 187728 250304 281592 375456 500608 563184 750912 1001216 1126368 1501824 2002432 2252736 3003648 4004864 4505472 6007296 8009728 9010944 12014592 15295921 16019456 18021888 24029184 30591842 32038912 36043776 45887763 48058368 61183684 64077824 72087552 91775526 96116736 122367368 137663289 144175104 183551052 192233472 244734736 275326578 288350208 367102104 489469472 550653156 576700416 734204208 978938944 1101306312 1468408416 1957877888 2202612624 2936816832 3915755776 4405225248 5873633664 7831511552 8810450496 11747267328 15663023104 17620900992 23494534656 31326046208 35241801984 46989069312 62652092416 70483603968 93978138624 125304184832 140967207936 187956277248 250608369664 281934415872 375912554496 563868831744 751825108992 1127737663488 2255475326976