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66673400736 = 2532939676037
BaseRepresentation
bin111110000110000010…
…110101101110100000
320101002120202200120110
4332012002311232200
52043021342310421
650343534211320
74550141361345
oct760602655640
9211076680513
1066673400736
112630443a888
1210b08953b40
1363971b1217
143326cb47cc
151b03556a76
hexf860b5ba0

66673400736 has 96 divisors (see below), whose sum is σ = 181128407040. Its totient is φ = 21449143296.

The previous prime is 66673400719. The next prime is 66673400771. The reversal of 66673400736 is 63700437666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11041110 + ... + 11047146.

It is an arithmetic number, because the mean of its divisors is an integer number (1886754240).

Almost surely, 266673400736 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 66673400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90564203520).

66673400736 is an abundant number, since it is smaller than the sum of its proper divisors (114455006304).

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

66673400736 is a wasteful number, since it uses less digits than its factorization.

66673400736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 66673400736 in words is "sixty-six billion, six hundred seventy-three million, four hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 3967 6037 7934 11901 12074 15868 18111 23802 24148 31736 36222 47604 48296 63472 72444 95208 96592 115043 126944 144888 175073 190416 193184 230086 289776 345129 350146 380832 460172 525219 579552 690258 700292 920344 1050438 1380516 1400584 1840688 2100876 2761032 2801168 3681376 4201752 5522064 5602336 8403504 11044128 16807008 23948779 47897558 71846337 95795116 143692674 191590232 287385348 383180464 574770696 694514591 766360928 1149541392 1389029182 2083543773 2299082784 2778058364 4167087546 5556116728 8334175092 11112233456 16668350184 22224466912 33336700368 66673400736