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5666076540 = 22325174739397
BaseRepresentation
bin1010100011011100…
…10111011101111100
3112121212201111210200
411101232113131330
543101003422130
62334123403500
7260260566405
oct52156273574
915555644720
105666076540
112448397193
121121683590
136c3b51217
143ba7289ac
15232677760
hex151b9777c

5666076540 has 144 divisors (see below), whose sum is σ = 18585770112. Its totient is φ = 1391781888.

The previous prime is 5666076539. The next prime is 5666076541. The reversal of 5666076540 is 456706665.

It is an interprime number because it is at equal distance from previous prime (5666076539) and next prime (5666076541).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5666076541) 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, 124122 + ... + 163518.

It is an arithmetic number, because the mean of its divisors is an integer number (129067848).

Almost surely, 25666076540 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 5666076540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292885056).

5666076540 is an abundant number, since it is smaller than the sum of its proper divisors (12919693572).

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

5666076540 is a wasteful number, since it uses less digits than its factorization.

5666076540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39476 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5666076540 is about 75273.3454816511. The cubic root of 5666076540 is about 1782.7651903939.

The spelling of 5666076540 in words is "five billion, six hundred sixty-six million, seventy-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 306 340 423 470 510 564 612 705 765 799 846 940 1020 1410 1530 1598 1692 2115 2397 2820 3060 3196 3995 4230 4794 7191 7990 8460 9588 11985 14382 15980 23970 28764 35955 39397 47940 71910 78794 118191 143820 157588 196985 236382 354573 393970 472764 590955 669749 709146 787940 1181910 1339498 1418292 1772865 1851659 2009247 2363820 2678996 3348745 3545730 3703318 4018494 5554977 6027741 6697490 7091460 7406636 8036988 9258295 10046235 11109954 12055482 13394980 16664931 18516590 20092470 22219908 24110964 27774885 30138705 31478203 33329862 37033180 40184940 55549770 60277410 62956406 66659724 83324655 94434609 111099540 120554820 125912812 157391015 166649310 188869218 283303827 314782030 333298620 377738436 472173045 566607654 629564060 944346090 1133215308 1416519135 1888692180 2833038270 5666076540