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8226685968400 = 245261223512
BaseRepresentation
bin111011110110110110010…
…1100011110000000010000
31002010110111220000202000201
41313231230230132000100
52034241223101442100
625255142023024544
71506233642646334
oct167555454360020
932113456022021
108226685968400
112691a1083a479
12b0a47859b154
13478a08822483
142062609b97c4
15e3edd0dd36a
hex77b6cb1e010

8226685968400 has 135 divisors (see below), whose sum is σ = 20102485338039. Its totient is φ = 3235352160000.

The previous prime is 8226685968353. The next prime is 8226685968409. The reversal of 8226685968400 is 48695866228.

Multipling 8226685968400 by its sum of digits (64), we get a square (526507901977600 = 229457602).

The square root of 8226685968400 is 2868220.

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 3789360570384 + 4437325398016 = 1946628^2 + 2106496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8226685968409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3499227225 + ... + 3499229575.

Almost surely, 28226685968400 is an apocalyptic number.

8226685968400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8226685968400 is the 2868220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8226685968400

8226685968400 is an abundant number, since it is smaller than the sum of its proper divisors (11875799369639).

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

8226685968400 is an frugal number, since it uses more digits than its factorization.

8226685968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 8226685968400 in words is "eight trillion, two hundred twenty-six billion, six hundred eighty-five million, nine hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2351 2440 3050 3721 4702 4880 6100 7442 9404 11755 12200 14884 18605 18808 23510 24400 29768 37210 37616 47020 58775 59536 74420 93025 94040 117550 143411 148840 186050 188080 235100 286822 297680 372100 470200 573644 717055 744200 940400 1147288 1434110 1488400 2294576 2868220 3585275 5527201 5736440 7170550 8748071 11054402 11472880 14341100 17496142 22108804 27636005 28682200 34992284 43740355 44217608 55272010 57364400 69984568 87480710 88435216 110544020 138180025 139969136 174961420 218701775 221088040 276360050 337159261 349922840 437403550 442176080 552720100 674318522 699845680 874807100 1105440200 1348637044 1685796305 1749614200 2210880400 2697274088 3371592610 3499228400 5394548176 6743185220 8428981525 13486370440 16857963050 20566714921 26972740880 33715926100 41133429842 67431852200 82266859684 102833574605 134863704400 164533719368 205667149210 329067438736 411334298420 514167873025 822668596840 1028335746050 1645337193680 2056671492100 4113342984200 8226685968400