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5969145564 = 22321923537159
BaseRepresentation
bin1011000111100100…
…11110111011011100
3120102000000000100100
411203302132323130
544211100124224
62424151301100
7300630620514
oct54362367334
916360000310
105969145564
112593477458
1211a707a790
13741884bc5
14408a9a844
1524e090ac9
hex163c9eedc

5969145564 has 144 divisors (see below), whose sum is σ = 16888435200. Its totient is φ = 1768770432.

The previous prime is 5969145563. The next prime is 5969145601. The reversal of 5969145564 is 4655419695.

5969145564 is a `hidden beast` number, since 5 + 9 + 69 + 14 + 5 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5969145564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5969145563) 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, 830217 + ... + 837375.

It is an arithmetic number, because the mean of its divisors is an integer number (117280800).

Almost surely, 25969145564 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 5969145564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444217600).

5969145564 is an abundant number, since it is smaller than the sum of its proper divisors (10919289636).

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

5969145564 is a wasteful number, since it uses less digits than its factorization.

5969145564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7259 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 5969145564 is about 77260.2456894877. The cubic root of 5969145564 is about 1814.0004477405. Note that the first 3 decimals are identical.

The spelling of 5969145564 in words is "five billion, nine hundred sixty-nine million, one hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 53 57 69 76 92 106 114 138 159 171 207 212 228 276 318 342 414 437 477 636 684 828 874 954 1007 1219 1311 1748 1908 2014 2438 2622 3021 3657 3933 4028 4876 5244 6042 7159 7314 7866 9063 10971 12084 14318 14628 15732 18126 21477 21942 23161 28636 36252 42954 43884 46322 64431 69483 85908 92644 128862 136021 138966 164657 208449 257724 272042 277932 329314 379427 408063 416898 493971 544084 658628 758854 816126 833796 987942 1138281 1224189 1481913 1517708 1632252 1975884 2276562 2448378 2963826 3128483 3414843 4553124 4896756 5927652 6256966 6829686 7209113 8726821 9385449 12513932 13659372 14418226 17453642 18770898 21627339 26180463 28156347 28836452 34907284 37541796 43254678 52360926 56312694 64882017 78541389 86509356 104721852 112625388 129764034 157082778 165809599 259528068 314165556 331619198 497428797 663238396 994857594 1492286391 1989715188 2984572782 5969145564