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256612226146752 = 2637190931715883
BaseRepresentation
bin111010010110001100110000…
…100101011010000111000000
31020122120220000020211112110210
4322112030300211122013000
5232113313314343144002
62305434010152554120
7105023423116655640
oct7226146045320700
91218526006745423
10256612226146752
11748456a787a3a3
12249452033b2940
13b0255769440b8
144752152d4a520
151ea011604696c
hexe9633095a1c0

256612226146752 has 56 divisors (see below), whose sum is σ = 775946493352576. Its totient is φ = 73317778898688.

The previous prime is 256612226146751. The next prime is 256612226146763. The reversal of 256612226146752 is 257641622216652.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 256612226146692 and 256612226146701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256612226146751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95465856598 + ... + 95465859285.

It is an arithmetic number, because the mean of its divisors is an integer number (13856187381296).

Almost surely, 2256612226146752 is an apocalyptic number.

It is an amenable number.

256612226146752 is an abundant number, since it is smaller than the sum of its proper divisors (519334267205824).

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

256612226146752 is a wasteful number, since it uses less digits than its factorization.

256612226146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190931715905 (or 190931715895 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 256612226146752 in words is "two hundred fifty-six trillion, six hundred twelve billion, two hundred twenty-six million, one hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 190931715883 381863431766 572795147649 763726863532 1145590295298 1336522011181 1527453727064 2291180590596 2673044022362 3054907454128 4009566033543 4582361181192 5346088044724 6109814908256 8019132067086 9164722362384 10692176089448 12219629816512 16038264134172 18329444724768 21384352178896 32076528268344 36658889449536 42768704357792 64153056536688 85537408715584 128306113073376 256612226146752