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2066530401 = 341329313759
BaseRepresentation
bin111101100101100…
…1100000001100001
312100000112121210000
41323023030001201
513213012433101
6541020530213
7102132134655
oct17313140141
95300477700
102066530401
11970558971
124980b0969
1326c19c870
14158656a65
15c1655486
hex7b2cc061

2066530401 has 160 divisors (see below), whose sum is σ = 3707827200. Its totient is φ = 1136540160.

The previous prime is 2066530399. The next prime is 2066530409. The reversal of 2066530401 is 1040356602.

2066530401 is a `hidden beast` number, since 2 + 0 + 6 + 653 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 2066530401 - 21 = 2066530399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2066530409) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35025910 + ... + 35025968.

It is an arithmetic number, because the mean of its divisors is an integer number (23173920).

Almost surely, 22066530401 is an apocalyptic number.

It is an amenable number.

2066530401 is a deficient number, since it is larger than the sum of its proper divisors (1641296799).

2066530401 is a wasteful number, since it uses less digits than its factorization.

2066530401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2066530401 is about 45459.1069093972. The cubic root of 2066530401 is about 1273.7394489546.

The spelling of 2066530401 in words is "two billion, sixty-six million, five hundred thirty thousand, four hundred one".

Divisors: 1 3 9 13 27 29 31 37 39 59 81 87 93 111 117 177 261 279 333 351 377 403 481 531 767 783 837 899 999 1053 1073 1131 1147 1209 1443 1593 1711 1829 2183 2301 2349 2511 2697 2997 3219 3393 3441 3627 4329 4779 5133 5487 6549 6903 8091 9657 10179 10323 10881 11687 12987 13949 14911 15399 16461 19647 20709 22243 23777 24273 28379 28971 30537 30969 32643 33263 35061 38961 41847 44733 46197 49383 53041 58941 62127 63307 66729 67673 71331 72819 85137 86913 92907 99789 105183 125541 134199 138591 148149 159123 176823 189921 200187 203019 213993 255411 299367 315549 376623 402597 432419 477369 569763 600561 609057 641979 689533 766233 822991 879749 898101 946647 1129869 1207791 1297257 1432107 1709289 1801683 1827171 1925937 1962517 2068599 2298699 2468973 2639247 2694303 3891771 4296321 5127867 5481513 5887551 6205797 7406919 7917741 11675313 17662653 18617391 22220757 23753223 25512721 35025939 52987959 55852173 66662271 71259669 76538163 158963877 229614489 688843467 2066530401