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2745725520216 = 233725774118581
BaseRepresentation
bin100111111101001001111…
…111101000100101011000
3100201111012022222100101210
4213331021333220211120
5324441221213121331
65501211402543120
7402241431561120
oct47751177504530
910644168870353
102745725520216
11969501525608
12384181b07aa0
1316bbc8018743
1496c72921c80
154b651537446
hex27f49fe8958

2745725520216 has 128 divisors (see below), whose sum is σ = 7877435650560. Its totient is φ = 781244006400.

The previous prime is 2745725520173. The next prime is 2745725520229. The reversal of 2745725520216 is 6120255275472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319973046 + ... + 319981626.

It is an arithmetic number, because the mean of its divisors is an integer number (61542466020).

Almost surely, 22745725520216 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 2745725520216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938717825280).

2745725520216 is an abundant number, since it is smaller than the sum of its proper divisors (5131710130344).

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

2745725520216 is a wasteful number, since it uses less digits than its factorization.

2745725520216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16265 (or 16261 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 2745725520216 in words is "two trillion, seven hundred forty-five billion, seven hundred twenty-five million, five hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 257 514 771 1028 1542 1799 2056 3084 3598 5397 6168 7196 7411 8581 10794 14392 14822 17162 21588 22233 25743 29644 34324 43176 44466 51486 51877 59288 60067 68648 88932 102972 103754 120134 155631 177864 180201 205944 207508 240268 311262 360402 415016 480536 622524 720804 1245048 1441608 1904627 2205317 3809254 4410634 5713881 6615951 7618508 8821268 11427762 13231902 13332389 15237016 15437219 17642536 22855524 26463804 26664778 30874438 39997167 45711048 46311657 52927608 53329556 61748876 63593791 79994334 92623314 106659112 123497752 127187582 159988668 185246628 190781373 254375164 319977336 370493256 381562746 445156537 508750328 763125492 890313074 1335469611 1526250984 1780626148 2670939222 3561252296 5341878444 10683756888 16343604287 32687208574 49030812861 65374417148 98061625722 114405230009 130748834296 196123251444 228810460018 343215690027 392246502888 457620920036 686431380054 915241840072 1372862760108 2745725520216