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2266400778849 = 3447235592
BaseRepresentation
bin100000111110110000000…
…000110110101001100001
322000122222100220121010000
4200332300000312221201
5244113042044410344
64453100430130213
7322512344522424
oct40766000665141
98018870817100
102266400778849
117a41a2177a19
123072b1050969
1313594a43141c
147b9a155b9bb
153de4aaa6a69
hex20fb0036a61

2266400778849 has 45 divisors (see below), whose sum is σ = 3460150186977. Its totient is φ = 1478370817656.

The previous prime is 2266400778821. The next prime is 2266400778853. The reversal of 2266400778849 is 9488770046622.

The square root of 2266400778849 is 1505457.

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

2266400778849 is a `hidden beast` number, since 22 + 66 + 400 + 7 + 78 + 84 + 9 = 666.

It is not a de Polignac number, because 2266400778849 - 231 = 2264253295201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2266400774849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 636806532 + ... + 636810090.

Almost surely, 22266400778849 is an apocalyptic number.

2266400778849 is the 1505457-th square number.

2266400778849 is the 752729-th centered octagonal number.

It is an amenable number.

2266400778849 is a deficient number, since it is larger than the sum of its proper divisors (1193749408128).

2266400778849 is an frugal number, since it uses more digits than its factorization.

2266400778849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 2266400778849 in words is "two trillion, two hundred sixty-six billion, four hundred million, seven hundred seventy-eight thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 47 81 141 423 1269 2209 3559 3807 6627 10677 19881 32031 59643 96093 167273 178929 288279 501819 1505457 4516371 7861831 12666481 13549113 23585493 37999443 70756479 113998329 212269437 341994987 595324607 636808311 1025984961 1785973821 5357921463 16073764389 27980256529 48221293167 83940769587 251822308761 755466926283 2266400778849