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2102319492 = 2237134014801
BaseRepresentation
bin111110101001110…
…1101100110000100
312102111212220011220
41331103231212010
513301143210432
6544340000340
7103045264230
oct17523554604
95374786156
102102319492
11989782829
124a80900b0
13276720840
1415d2d15c0
15c487472c
hex7d4ed984

2102319492 has 96 divisors (see below), whose sum is σ = 6053746944. Its totient is φ = 552960000.

The previous prime is 2102319469. The next prime is 2102319503. The reversal of 2102319492 is 2949132012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435492 + ... + 440292.

It is an arithmetic number, because the mean of its divisors is an integer number (63059864).

Almost surely, 22102319492 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 2102319492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026873472).

2102319492 is an abundant number, since it is smaller than the sum of its proper divisors (3951427452).

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

2102319492 is a wasteful number, since it uses less digits than its factorization.

2102319492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2102319492 is about 45851.0576977238. The cubic root of 2102319492 is about 1281.0504666091.

The spelling of 2102319492 in words is "two billion, one hundred two million, three hundred nineteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 401 546 802 1092 1203 1604 2406 2807 4801 4812 5213 5614 8421 9602 10426 11228 14403 15639 16842 19204 20852 28806 31278 33607 33684 36491 57612 62413 62556 67214 72982 100821 109473 124826 134428 145964 187239 201642 218946 249652 374478 403284 436891 437892 748956 873782 1310673 1747564 1925201 2621346 3850402 5242692 5775603 7700804 11551206 13476407 23102412 25027613 26952814 40429221 50055226 53905628 75082839 80858442 100110452 150165678 161716884 175193291 300331356 350386582 525579873 700773164 1051159746 2102319492