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5660506404 = 22327295231481
BaseRepresentation
bin1010100010110010…
…00111100100100100
3112121111020112000100
411101121013210210
543043042201104
62333404144100
7260162340060
oct52131074444
915544215010
105660506404
112445232273
12111b838030
136c2950a97
143b9ab8aa0
15231e27139
hex151647924

5660506404 has 144 divisors (see below), whose sum is σ = 16960245120. Its totient is φ = 1557480960.

The previous prime is 5660506399. The next prime is 5660506409. The reversal of 5660506404 is 4046050665.

It is a happy number.

5660506404 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 5 + 0 + 640 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5660506399) and next prime (5660506409).

It is a super-2 number, since 2×56605064042 = 64082665499450022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5660506409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3821344 + ... + 3822824.

It is an arithmetic number, because the mean of its divisors is an integer number (117779480).

Almost surely, 25660506404 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 5660506404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480122560).

5660506404 is an abundant number, since it is smaller than the sum of its proper divisors (11299738716).

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

5660506404 is a wasteful number, since it uses less digits than its factorization.

5660506404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5660506404 is about 75236.3369921742. The cubic root of 5660506404 is about 1782.1808059845.

The spelling of 5660506404 in words is "five billion, six hundred sixty million, five hundred six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 523 609 812 1044 1046 1218 1481 1569 1827 2092 2436 2962 3138 3654 3661 4443 4707 5924 6276 7308 7322 8886 9414 10367 10983 13329 14644 15167 17772 18828 20734 21966 26658 30334 31101 32949 41468 42949 43932 45501 53316 60668 62202 65898 85898 91002 93303 106169 124404 128847 131796 136503 171796 182004 186606 212338 257694 273006 300643 318507 373212 386541 424676 515388 546012 601286 637014 773082 774563 901929 955521 1202572 1274028 1546164 1549126 1803858 1911042 2323689 2705787 3098252 3607716 3822084 4647378 5411574 5421941 6971067 9294756 10823148 10843882 13942134 16265823 21687764 22462327 27884268 32531646 44924654 48797469 65063292 67386981 89849308 97594938 134773962 157236289 195189876 202160943 269547924 314472578 404321886 471708867 628945156 808643772 943417734 1415126601 1886835468 2830253202 5660506404