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66607470666 = 233113111713089
BaseRepresentation
bin111110000010000111…
…010101100001001010
320100220222201002112000
4332002013111201022
52042403003030131
650333221131430
74545411105402
oct760207254112
9210828632460
1066607470666
11262801a9620
1210aaa859b76
136386639049
14331c231802
151aec881ce6
hexf821d584a

66607470666 has 128 divisors (see below), whose sum is σ = 166877798400. Its totient is φ = 19509984000.

The previous prime is 66607470641. The next prime is 66607470673.

66607470666 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21561250 + ... + 21564338.

It is an arithmetic number, because the mean of its divisors is an integer number (1303732800).

Almost surely, 266607470666 is an apocalyptic number.

66607470666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66607470666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83438899200).

66607470666 is an abundant number, since it is smaller than the sum of its proper divisors (100270327734).

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

66607470666 is a wasteful number, since it uses less digits than its factorization.

66607470666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 66607470666 in words is "sixty-six billion, six hundred seven million, four hundred seventy thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1171 1674 2046 2342 3069 3089 3513 6138 6178 7026 9207 9267 10539 12881 18414 18534 21078 25762 27801 31617 33979 36301 38643 55602 63234 67958 72602 77286 83403 95759 101937 108903 115929 166806 191518 203874 217806 231858 287277 305811 326709 347787 399311 574554 611622 653418 695574 798622 861831 917433 980127 1053349 1197933 1723662 1834866 1960254 2106698 2395866 2585493 3160047 3593799 3617219 5170986 6320094 7187598 7234438 9480141 10781397 10851657 18960282 21562794 21703314 28440423 32554971 39789409 56880846 65109942 79578818 97664913 112133789 119368227 195329826 224267578 238736454 336401367 358104681 672802734 716209362 1009204101 1074314043 1233471679 2018408202 2148628086 2466943358 3027612303 3700415037 6055224606 7400830074 11101245111 22202490222 33303735333 66607470666