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2191694656 = 26234433361
BaseRepresentation
bin1000001010100010…
…1001101101000000
312122202001121212011
42002220221231000
513442033212111
61001251342304
7105212045224
oct20250515500
95582047764
102191694656
11a251776a8
12511bb1994
1328c0b4258
1416b118784
15cc62b021
hex82a29b40

2191694656 has 56 divisors (see below), whose sum is σ = 4549834944. Its totient is φ = 1045524480.

The previous prime is 2191694629. The next prime is 2191694657. The reversal of 2191694656 is 6564961912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191694657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650416 + ... + 653776.

Almost surely, 22191694656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274917472).

2191694656 is an abundant number, since it is smaller than the sum of its proper divisors (2358140288).

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

2191694656 is a wasteful number, since it uses less digits than its factorization.

2191694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3829 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 2191694656 is about 46815.5386170019. The cubic root of 2191694656 is about 1298.9527376313.

The spelling of 2191694656 in words is "two billion, one hundred ninety-one million, six hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 443 736 886 1472 1772 3361 3544 6722 7088 10189 13444 14176 20378 26888 28352 40756 53776 77303 81512 107552 154606 163024 215104 309212 326048 618424 652096 1236848 1488923 2473696 2977846 4947392 5955692 11911384 23822768 34245229 47645536 68490458 95291072 136980916 273961832 547923664 1095847328 2191694656