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2016116480 = 2857832711
BaseRepresentation
bin111100000101011…
…0111111100000000
312012111200022212202
41320022313330000
513112111211410
6532020212332
7100650464420
oct17012677400
95174608782
102016116480
11945055174
1248323a0a8
132618cac41
14151a92480
15bbee7ca5
hex782b7f00

2016116480 has 144 divisors (see below), whose sum is σ = 5587674624. Its totient is φ = 682659840.

The previous prime is 2016116471. The next prime is 2016116489. The reversal of 2016116480 is 846116102.

It is an interprime number because it is at equal distance from previous prime (2016116471) and next prime (2016116489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016116489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742325 + ... + 745035.

It is an arithmetic number, because the mean of its divisors is an integer number (38803296).

Almost surely, 22016116480 is an apocalyptic number.

2016116480 is a gapful number since it is divisible by the number (20) 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 2016116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793837312).

2016116480 is an abundant number, since it is smaller than the sum of its proper divisors (3571558144).

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

2016116480 is an equidigital number, since it uses as much as digits as its factorization.

2016116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2016116480 is about 44901.1857304459. The cubic root of 2016116480 is about 1263.2962487441.

The spelling of 2016116480 in words is "two billion, sixteen million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 128 140 160 166 224 256 280 320 332 415 448 560 581 640 664 830 896 1120 1162 1280 1328 1660 1792 2240 2324 2656 2711 2905 3320 4480 4648 5312 5422 5810 6640 8960 9296 10624 10844 11620 13280 13555 18592 18977 21248 21688 23240 26560 27110 37184 37954 43376 46480 53120 54220 74368 75908 86752 92960 94885 106240 108440 148736 151816 173504 185920 189770 216880 225013 303632 347008 371840 379540 433760 450026 607264 694016 743680 759080 867520 900052 1125065 1214528 1518160 1575091 1735040 1800104 2250130 2429056 3036320 3150182 3470080 3600208 4500260 4858112 6072640 6300364 7200416 7875455 9000520 12145280 12600728 14400832 15750910 18001040 24290560 25201456 28801664 31501820 36002080 50402912 57603328 63003640 72004160 100805824 126007280 144008320 201611648 252014560 288016640 403223296 504029120 1008058240 2016116480