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2769901056 = 29331315413
BaseRepresentation
bin1010010100011001…
…0101011000000000
321011001001112221000
42211012111120000
521133043313211
61134504332000
7125432525166
oct24506253000
97131045830
102769901056
1111a159a72a
12653774000
13351b1c210
141c3c2b236
15113291656
hexa5195600

2769901056 has 160 divisors (see below), whose sum is σ = 8830372320. Its totient is φ = 852221952.

The previous prime is 2769901051. The next prime is 2769901091. The reversal of 2769901056 is 6501099672.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769901051) by changing a digit.

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, 172006 + ... + 187418.

It is an arithmetic number, because the mean of its divisors is an integer number (55189827).

Almost surely, 22769901056 is an apocalyptic number.

2769901056 is a gapful number since it is divisible by the number (26) 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 2769901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415186160).

2769901056 is an abundant number, since it is smaller than the sum of its proper divisors (6060471264).

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

2769901056 is a wasteful number, since it uses less digits than its factorization.

2769901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15453 (or 15431 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2769901056 is about 52629.8494772691. The cubic root of 2769901056 is about 1404.3911540724.

The spelling of 2769901056 in words is "two billion, seven hundred sixty-nine million, nine hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 9984 11232 13824 14976 15413 19968 22464 29952 30826 44928 46239 59904 61652 89856 92478 123304 138717 179712 184956 200369 246608 277434 369912 400738 416151 493216 554868 601107 739824 801476 832302 986432 1109736 1202214 1479648 1602952 1664604 1803321 1972864 2219472 2404428 2959296 3205904 3329208 3606642 3945728 4438944 4808856 5409963 5918592 6411808 6658416 7213284 7891456 8877888 9617712 10819926 11837184 12823616 13316832 14426568 17755776 19235424 21639852 23674368 25647232 26633664 28853136 35511552 38470848 43279704 51294464 53267328 57706272 71023104 76941696 86559408 102588928 106534656 115412544 153883392 173118816 213069312 230825088 307766784 346237632 461650176 692475264 923300352 1384950528 2769901056