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2695104259328 = 28132957748397
BaseRepresentation
bin100111001110000000101…
…110110110010100000000
3100112122112110010212001102
4213032000232312110000
5323124033142244303
65422040325353532
7365500124136125
oct47160056662400
910478473125042
102695104259328
11949a95103008
123763b4b688a8
131671bb647b30
149462d8b274c
154a18c375288
hex27380bb6500

2695104259328 has 144 divisors (see below), whose sum is σ = 6003789323280. Its totient is φ = 1198895136768.

The previous prime is 2695104259327. The next prime is 2695104259411. The reversal of 2695104259328 is 8239524015962.

It can be written as a sum of positive squares in 8 ways, for example, as 277551956224 + 2417552303104 = 526832^2 + 1554848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2695104259327) 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, 55663226 + ... + 55711622.

Almost surely, 22695104259328 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 2695104259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001894661640).

2695104259328 is an abundant number, since it is smaller than the sum of its proper divisors (3308685063952).

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

2695104259328 is a wasteful number, since it uses less digits than its factorization.

2695104259328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49032 (or 49018 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 2695104259328 in words is "two trillion, six hundred ninety-five billion, one hundred four million, two hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 577 754 832 928 1154 1508 1664 1856 2308 3016 3328 3712 4616 6032 7424 7501 9232 12064 15002 16733 18464 24128 30004 33466 36928 48256 48397 60008 66932 73856 96512 96794 120016 133864 147712 193588 217529 240032 267728 387176 435058 480064 535456 629161 774352 870116 960128 1070912 1258322 1403513 1548704 1740232 1920256 2141824 2516644 2807026 3097408 3480464 4283648 5033288 5614052 6194816 6960928 10066576 11228104 12389632 13921856 18245669 20133152 22456208 27843712 27925069 36491338 40266304 44912416 55687424 55850138 72982676 80532608 89824832 111700276 145965352 161065216 179649664 223400552 291930704 359299328 363025897 446801104 583861408 726051794 809827001 893602208 1167722816 1452103588 1619654002 1787204416 2335445632 2904207176 3239308004 3574408832 4670891264 5808414352 6478616008 7148817664 10527751013 11616828704 12957232016 21055502026 23233657408 25914464032 42111004052 46467314816 51828928064 84222008104 92934629632 103657856128 168444016208 207315712256 336888032416 673776064832 1347552129664 2695104259328