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2765078016 = 2931726229
BaseRepresentation
bin1010010011001111…
…1011111000000000
321010200222111221220
42210303323320000
521130324444031
61134213115040
7125343526641
oct24463737000
97120874856
102765078016
1111998a6048
12652028a80
13350b20b4c
141c33336c8
15112b3c596
hexa4cfbe00

2765078016 has 120 divisors (see below), whose sum is σ = 7826400120. Its totient is φ = 867336192.

The previous prime is 2765077979. The next prime is 2765078027. The reversal of 2765078016 is 6108705672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440790 + ... + 447018.

It is an arithmetic number, because the mean of its divisors is an integer number (65220001).

Almost surely, 22765078016 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 2765078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913200060).

2765078016 is an abundant number, since it is smaller than the sum of its proper divisors (5061322104).

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

2765078016 is an equidigital number, since it uses as much as digits as its factorization.

2765078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 2765078016 is about 52584.0091282511. The cubic root of 2765078016 is about 1403.5755569619.

The spelling of 2765078016 in words is "two billion, seven hundred sixty-five million, seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1088 1156 1536 1632 1734 2176 2312 3264 3468 4352 4624 6229 6528 6936 8704 9248 12458 13056 13872 18496 18687 24916 26112 27744 36992 37374 49832 55488 73984 74748 99664 105893 110976 147968 149496 199328 211786 221952 298992 317679 398656 423572 443904 597984 635358 797312 847144 1195968 1270716 1594624 1694288 1800181 2391936 2541432 3189248 3388576 3600362 4783872 5082864 5400543 6777152 7200724 9567744 10165728 10801086 13554304 14401448 20331456 21602172 27108608 28802896 40662912 43204344 54217216 57605792 81325824 86408688 115211584 162651648 172817376 230423168 345634752 460846336 691269504 921692672 1382539008 2765078016