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2798793216 = 2933613319
BaseRepresentation
bin1010011011010010…
…0011001000000000
321020001102102112000
42212310203020000
521212442340331
61141415504000
7126233230662
oct24664431000
97201372460
102798793216
11120693384a
12661388000
13357ac6b7b
141c79cc532
15115a9c0e6
hexa6d23200

2798793216 has 160 divisors (see below), whose sum is σ = 8422972800. Its totient is φ = 917360640.

The previous prime is 2798793197. The next prime is 2798793241. The reversal of 2798793216 is 6123978972.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 841605 + ... + 844923.

It is an arithmetic number, because the mean of its divisors is an integer number (52643580).

Almost surely, 22798793216 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 2798793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211486400).

2798793216 is an abundant number, since it is smaller than the sum of its proper divisors (5624179584).

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

2798793216 is an equidigital number, since it uses as much as digits as its factorization.

2798793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3385 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2798793216 is about 52903.6219554011. The cubic root of 2798793216 is about 1409.2572276165.

The spelling of 2798793216 in words is "two billion, seven hundred ninety-eight million, seven hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 512 549 576 732 768 864 976 1098 1152 1464 1536 1647 1728 1952 2196 2304 2928 3294 3319 3456 3904 4392 4608 5856 6588 6638 6912 7808 8784 9957 11712 13176 13276 13824 15616 17568 19914 23424 26352 26552 29871 31232 35136 39828 46848 52704 53104 59742 70272 79656 89613 93696 105408 106208 119484 140544 159312 179226 202459 210816 212416 238968 281088 318624 358452 404918 421632 424832 477936 607377 637248 716904 809836 843264 849664 955872 1214754 1274496 1433808 1619672 1699328 1822131 1911744 2429508 2548992 2867616 3239344 3644262 3823488 4859016 5097984 5466393 5735232 6478688 7288524 7646976 9718032 10932786 11470464 12957376 14577048 15293952 19436064 21865572 22940928 25914752 29154096 38872128 43731144 45881856 51829504 58308192 77744256 87462288 103659008 116616384 155488512 174924576 233232768 310977024 349849152 466465536 699698304 932931072 1399396608 2798793216