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2193686976 = 263133128351
BaseRepresentation
bin1000001011000001…
…0000000111000000
312122212210211210210
42002300100013000
513443040440401
61001402154120
7105235013565
oct20260200700
95585724723
102193686976
11a26308548
125127b2940
1328c631040
1416b4b686c
15cc8c14d6
hex82c101c0

2193686976 has 112 divisors (see below), whose sum is σ = 6452461568. Its totient is φ = 653184000.

The previous prime is 2193686959. The next prime is 2193687017. The reversal of 2193686976 is 6796863912.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63201 + ... + 91551.

It is an arithmetic number, because the mean of its divisors is an integer number (57611264).

Almost surely, 22193686976 is an apocalyptic number.

2193686976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226230784).

2193686976 is an abundant number, since it is smaller than the sum of its proper divisors (4258774592).

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

2193686976 is a wasteful number, since it uses less digits than its factorization.

2193686976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28410 (or 28400 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 2193686976 is about 46836.8121887047. The cubic root of 2193686976 is about 1299.3462148487.

The spelling of 2193686976 in words is "two billion, one hundred ninety-three million, six hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 28351 38688 56702 77376 85053 113404 170106 226808 340212 368563 453616 680424 737126 878881 907232 1105689 1360848 1474252 1757762 1814464 2211378 2636643 2721696 2948504 3515524 4422756 5273286 5443392 5897008 7031048 8845512 10546572 11425453 11794016 14062096 17691024 21093144 22850906 23588032 28124192 34276359 35382048 42186288 45701812 56248384 68552718 70764096 84372576 91403624 137105436 168745152 182807248 274210872 365614496 548421744 731228992 1096843488 2193686976