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6853745977156 = 2213217259232
BaseRepresentation
bin110001110111100001100…
…0110000010011101000100
3220021012201100012211010101
41203233003012002131010
51344242432432232111
622324322322133444
71305111133404151
oct143570306023504
926235640184111
106853745977156
112202725a22291
129283757b1284
133a93c817a100
14199a1a193228
15bd435918bc1
hex63bc3182744

6853745977156 has 81 divisors (see below), whose sum is σ = 13798894685751. Its totient is φ = 2976690173184.

The previous prime is 6853745977153. The next prime is 6853745977181. The reversal of 6853745977156 is 6517795473586.

The square root of 6853745977156 is 2617966.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61884522756 + 6791861454400 = 248766^2 + 2606120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6853745977153) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1157138011 + ... + 1157143933.

Almost surely, 26853745977156 is an apocalyptic number.

6853745977156 is the 2617966-th square number.

It is an amenable number.

6853745977156 is an abundant number, since it is smaller than the sum of its proper divisors (6945148708595).

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

6853745977156 is an equidigital number, since it uses as much as digits as its factorization.

6853745977156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910 (or 5955 counting only the distinct ones).

The product of its digits is 1333584000, while the sum is 73.

The spelling of 6853745977156 in words is "six trillion, eight hundred fifty-three billion, seven hundred forty-five million, nine hundred seventy-seven thousand, one hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 884 1156 2873 3757 5746 5923 7514 11492 11846 15028 23692 48841 76999 97682 100691 153998 195364 201382 307996 402764 1000987 1308983 1711747 2001974 2617966 3423494 4003948 5235932 6846988 17016779 22252711 34033558 35081929 44505422 68067116 70163858 89010844 140327716 289285243 456065077 578570486 596392793 912130154 1157140972 1192785586 1824260308 2385571172 5928846001 7753106309 10138677481 11857692002 15506212618 20277354962 23715384004 31012425236 40554709924 100790382017 131802807253 201580764034 263605614506 403161528068 527211229012 1713436494289 3426872988578 6853745977156