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337212490000 = 245458072
BaseRepresentation
bin1001110100000110110…
…11100100000100010000
31012020101220210101101111
410322003123210010100
521011102344140000
6414525133543104
733235303605001
oct4720333440420
91166356711344
10337212490000
11120013728871
125542b944a94
1325a50537c69
141246d41b1a8
158b895c6cba
hex4e836e4110

337212490000 has 75 divisors (see below), whose sum is σ = 816565777027. Its totient is φ = 134861768000.

The previous prime is 337212489941. The next prime is 337212490001. The reversal of 337212490000 is 94212733.

The square root of 337212490000 is 580700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 26437459216 + 310775030784 = 162596^2 + 557472^2 .

It is a super-2 number, since 2×3372124900002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337212490001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 58067097 + ... + 58072903.

Almost surely, 2337212490000 is an apocalyptic number.

337212490000 is the 580700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337212490000

337212490000 is an abundant number, since it is smaller than the sum of its proper divisors (479353287027).

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

337212490000 is an frugal number, since it uses more digits than its factorization.

337212490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 337212490000 in words is "three hundred thirty-seven billion, two hundred twelve million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 5807 10000 11614 23228 29035 46456 58070 92912 116140 145175 232280 290350 464560 580700 725875 1161400 1451750 2322800 2903500 3629375 5807000 7258750 11614000 14517500 29035000 33721249 58070000 67442498 134884996 168606245 269769992 337212490 539539984 674424980 843031225 1348849960 1686062450 2697699920 3372124900 4215156125 6744249800 8430312250 13488499600 16860624500 21075780625 33721249000 42151561250 67442498000 84303122500 168606245000 337212490000