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249225224981472 = 25321945545545501
BaseRepresentation
bin111000101010101101000101…
…000000010000101111100000
31012200102200212102220102002200
4320222231011000100233200
5230131301230043401342
62242020253205213200
7103331633260036635
oct7052550500205740
91180380772812080
10249225224981472
1172457908239673
1223b51627701200
13a90aab7a6191c
1445787cb09618c
151dc2dc022094c
hexe2ab45010be0

249225224981472 has 72 divisors (see below), whose sum is σ = 746036035322760. Its totient is φ = 78702702624000.

The previous prime is 249225224981461. The next prime is 249225224981507. The reversal of 249225224981472 is 274189422522942.

249225224981472 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 2 + 52 + 24 + 98 + 1 + 472 = 666.

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

It is a super-2 number, since 2×2492252249814722 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 22772767279 + ... + 22772778222.

It is an arithmetic number, because the mean of its divisors is an integer number (10361611601705).

Almost surely, 2249225224981472 is an apocalyptic number.

It is an amenable number.

249225224981472 is an abundant number, since it is smaller than the sum of its proper divisors (496810810341288).

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

249225224981472 is a wasteful number, since it uses less digits than its factorization.

249225224981472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45545545536 (or 45545545525 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 249225224981472 in words is "two hundred forty-nine trillion, two hundred twenty-five billion, two hundred twenty-four million, nine hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 45545545501 91091091002 136636636503 182182182004 273273273006 364364364008 409909909509 546546546012 728728728016 819819819018 865365364519 1093093092024 1457457456032 1639639638036 1730730729038 2186186184048 2596096093557 3279279276072 3461461458076 4372372368096 5192192187114 6558558552144 6922922916152 7788288280671 10384384374228 13117117104288 13845845832304 15576576561342 20768768748456 27691691664608 31153153122684 41537537496912 62306306245368 83075074993824 124612612490736 249225224981472