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2188716672 = 27310753269
BaseRepresentation
bin1000001001110101…
…0010101010000000
312122112110022211110
42002131102222000
513440302413142
61001103443320
7105144533112
oct20235225200
95575408743
102188716672
11a2352325a
12510bb6540
1328b5b092c
1416a9813b2
15cc23d99c
hex82752a80

2188716672 has 64 divisors (see below), whose sum is σ = 5868223200. Its totient is φ = 722740224.

The previous prime is 2188716643. The next prime is 2188716683. The reversal of 2188716672 is 2766178812.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 14454 + ... + 67722.

Almost surely, 22188716672 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 2188716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934111600).

2188716672 is an abundant number, since it is smaller than the sum of its proper divisors (3679506528).

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

2188716672 is a wasteful number, since it uses less digits than its factorization.

2188716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53393 (or 53381 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2188716672 is about 46783.7222973974. The cubic root of 2188716672 is about 1298.3641498927.

The spelling of 2188716672 in words is "two billion, one hundred eighty-eight million, seven hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 41088 53269 106538 159807 213076 319614 426152 639228 852304 1278456 1704608 2556912 3409216 5113824 5699783 6818432 10227648 11399566 17099349 20455296 22799132 34198698 45598264 68397396 91196528 136794792 182393056 273589584 364786112 547179168 729572224 1094358336 2188716672