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2019716416 = 261719412383
BaseRepresentation
bin111100001100010…
…0110110101000000
312012202110020001201
41320120212311000
513114021411131
6532225310544
7101023210024
oct17030466500
95182406051
102019716416
11947093923
12484495454
1326258b693
1415234c384
15bc4a9761
hex78626d40

2019716416 has 112 divisors (see below), whose sum is σ = 4577852160. Its totient is φ = 878100480.

The previous prime is 2019716401. The next prime is 2019716423. The reversal of 2019716416 is 6146179102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846361 + ... + 848743.

It is an arithmetic number, because the mean of its divisors is an integer number (40873680).

Almost surely, 22019716416 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 2019716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288926080).

2019716416 is an abundant number, since it is smaller than the sum of its proper divisors (2558135744).

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

2019716416 is a wasteful number, since it uses less digits than its factorization.

2019716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 2019716416 is about 44941.2551671624. The cubic root of 2019716416 is about 1264.0477068999.

The spelling of 2019716416 in words is "two billion, nineteen million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 19 32 34 38 41 64 68 76 82 136 152 164 272 304 323 328 544 608 646 656 697 779 1088 1216 1292 1312 1394 1558 2383 2584 2624 2788 3116 4766 5168 5576 6232 9532 10336 11152 12464 13243 19064 20672 22304 24928 26486 38128 40511 44608 45277 49856 52972 76256 81022 90554 97703 105944 152512 162044 181108 195406 211888 324088 362216 390812 423776 648176 724432 769709 781624 847552 1296352 1448864 1539418 1563248 1660951 1856357 2592704 2897728 3078836 3126496 3321902 3712714 6157672 6252992 6643804 7425428 12315344 13287608 14850856 24630688 26575216 29701712 31558069 49261376 53150432 59403424 63116138 106300864 118806848 126232276 252464552 504929104 1009858208 2019716416