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2075276976 = 243199723459
BaseRepresentation
bin111101110110010…
…0011011010110000
312100121222222211020
41323230203122300
513222232330401
6541532215440
7102266364123
oct17354433260
95317888736
102075276976
11975492343
1249b00a580
13270c42a56
141598923ba
15c22d1d36
hex7bb236b0

2075276976 has 80 divisors (see below), whose sum is σ = 5701718400. Its totient is φ = 648566784.

The previous prime is 2075276969. The next prime is 2075276977. The reversal of 2075276976 is 6796725702.

It is not an unprimeable number, because it can be changed into a prime (2075276977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76735 + ... + 100193.

It is an arithmetic number, because the mean of its divisors is an integer number (71271480).

Almost surely, 22075276976 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 2075276976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850859200).

2075276976 is an abundant number, since it is smaller than the sum of its proper divisors (3626441424).

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

2075276976 is a wasteful number, since it uses less digits than its factorization.

2075276976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 23580 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The square root of 2075276976 is about 45555.2080008422. The cubic root of 2075276976 is about 1275.5339505991.

The spelling of 2075276976 in words is "two billion, seventy-five million, two hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 388 456 582 776 912 1164 1552 1843 2328 3686 4656 5529 7372 11058 14744 22116 23459 29488 44232 46918 70377 88464 93836 140754 187672 281508 375344 445721 563016 891442 1126032 1337163 1782884 2275523 2674326 3565768 4551046 5348652 6826569 7131536 9102092 10697304 13653138 18204184 21394608 27306276 36408368 43234937 54612552 86469874 109225104 129704811 172939748 259409622 345879496 518819244 691758992 1037638488 2075276976