Search a number
-
+
66210384930 = 235113191293349
BaseRepresentation
bin111101101010011100…
…100100110000100010
320022220022112001021220
4331222130210300202
52041044324304210
650225554155510
74532516662134
oct755234446042
9208808461256
1066210384930
1126097044198
12109b9882b96
1363222a8081
1432c15c9054
151ac7a96c70
hexf6a724c22

66210384930 has 128 divisors (see below), whose sum is σ = 162163814400. Its totient is φ = 17299107840.

The previous prime is 66210384907. The next prime is 66210384937. The reversal of 66210384930 is 3948301266.

It is a super-2 number, since 2×662103849302 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66210384937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189714396 + ... + 189714744.

It is an arithmetic number, because the mean of its divisors is an integer number (1266904800).

Almost surely, 266210384930 is an apocalyptic number.

66210384930 is an abundant number, since it is smaller than the sum of its proper divisors (95953429470).

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

66210384930 is a wasteful number, since it uses less digits than its factorization.

66210384930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 66210384930 in words is "sixty-six billion, two hundred ten million, three hundred eighty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 113 191 226 293 339 349 382 565 573 586 678 698 879 955 1047 1130 1146 1465 1695 1745 1758 1910 2094 2865 2930 3390 3490 4395 5235 5730 8790 10470 21583 33109 39437 43166 55963 64749 66218 66659 78874 99327 102257 107915 111926 118311 129498 133318 165545 167889 197185 198654 199977 204514 215830 236622 279815 306771 323745 331090 333295 335778 394370 399954 496635 511285 559630 591555 613542 647490 666590 839445 993270 999885 1022570 1183110 1533855 1678890 1999770 3067710 6323819 7532467 11555041 12647638 15064934 18971457 19531087 22597401 23110082 31619095 34665123 37662335 37942914 39062174 45194802 57775205 58593261 63238190 69330246 75324670 94857285 97655435 112987005 115550410 117186522 173325615 189714570 195310870 225974010 292966305 346651230 585932610 2207012831 4414025662 6621038493 11035064155 13242076986 22070128310 33105192465 66210384930