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2685418848 = 253275092617
BaseRepresentation
bin1010000000010000…
…0011110101100000
320221011002102010100
42200010003311200
520444431400343
61122245502400
7123355453320
oct24004036540
96834072110
102685418848
111158937a22
1262b411a00
1333a47c948
141b6919280
1510ab549d3
hexa0103d60

2685418848 has 144 divisors (see below), whose sum is σ = 8748099360. Its totient is φ = 765462528.

The previous prime is 2685418847. The next prime is 2685418849. The reversal of 2685418848 is 8488145862.

It is an interprime number because it is at equal distance from previous prime (2685418847) and next prime (2685418849).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26854188482 = 14422948778387294208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2685418794 and 2685418803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685418847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024836 + ... + 1027452.

It is an arithmetic number, because the mean of its divisors is an integer number (60750690).

Almost surely, 22685418848 is an apocalyptic number.

2685418848 is a gapful number since it is divisible by the number (28) 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 2685418848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374049680).

2685418848 is an abundant number, since it is smaller than the sum of its proper divisors (6062680512).

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

2685418848 is a wasteful number, since it uses less digits than its factorization.

2685418848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3138 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The square root of 2685418848 is about 51821.0270836077. The cubic root of 2685418848 is about 1389.9654681482.

The spelling of 2685418848 in words is "two billion, six hundred eighty-five million, four hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 509 672 1008 1018 1527 2016 2036 2617 3054 3563 4072 4581 5234 6108 7126 7851 8144 9162 10468 10689 12216 14252 15702 16288 18319 18324 20936 21378 23553 24432 28504 31404 32067 36638 36648 41872 42756 47106 48864 54957 57008 62808 64134 73276 73296 83744 85512 94212 109914 114016 125616 128268 146552 146592 164871 171024 188424 219828 251232 256536 293104 329742 342048 376848 439656 513072 586208 659484 753696 879312 1026144 1318968 1332053 1758624 2637936 2664106 3996159 5275872 5328212 7992318 9324371 10656424 11988477 15984636 18648742 21312848 23976954 27973113 31969272 37297484 42625696 47953908 55946226 63938544 74594968 83919339 95907816 111892452 127877088 149189936 167838678 191815632 223784904 298379872 335677356 383631264 447569808 671354712 895139616 1342709424 2685418848