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6945056532 = 2233297928069
BaseRepresentation
bin1100111011111010…
…10010011100010100
3122221000100102112000
412131331102130110
5103210413302112
63105052355300
7334051002141
oct63575223424
918830312460
106945056532
112a44337847
121419a75b30
13868b0970b
1449c5373c8
152a9ab47dc
hex19df52714

6945056532 has 96 divisors (see below), whose sum is σ = 18863040000. Its totient is φ = 2206818432.

The previous prime is 6945056519. The next prime is 6945056533. The reversal of 6945056532 is 2356505496.

6945056532 is a `hidden beast` number, since 6 + 9 + 4 + 50 + 565 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945056533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233394 + ... + 261462.

It is an arithmetic number, because the mean of its divisors is an integer number (196490000).

Almost surely, 26945056532 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 6945056532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9431520000).

6945056532 is an abundant number, since it is smaller than the sum of its proper divisors (11917983468).

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

6945056532 is a wasteful number, since it uses less digits than its factorization.

6945056532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28190 (or 28182 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 6945056532 is about 83337.0057777456. The cubic root of 6945056532 is about 1907.9131225028.

The spelling of 6945056532 in words is "six billion, nine hundred forty-five million, fifty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 79 87 108 116 158 174 237 261 316 348 474 522 711 783 948 1044 1422 1566 2133 2291 2844 3132 4266 4582 6873 8532 9164 13746 20619 27492 28069 41238 56138 61857 82476 84207 112276 123714 168414 247428 252621 336828 505242 757863 814001 1010484 1515726 1628002 2217451 2442003 3031452 3256004 4434902 4884006 6652353 7326009 8869804 9768012 13304706 14652018 19957059 21978027 26609412 29304036 39914118 43956054 59871177 64306079 79828236 87912108 119742354 128612158 192918237 239484708 257224316 385836474 578754711 771672948 1157509422 1736264133 2315018844 3472528266 6945056532