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66700737774 = 232111931755931
BaseRepresentation
bin111110000111101011…
…000111110011101110
320101011111012112221100
4332013223013303232
52043100342102044
650350352143530
74550622626226
oct760753076356
9211144175840
1066700737774
1126318911580
1210b15b37ba6
13639ca63098
14332a78d086
151b05b56869
hexf87ac7cee

66700737774 has 96 divisors (see below), whose sum is σ = 166480479360. Its totient is φ = 19087790400.

The previous prime is 66700737757. The next prime is 66700737833. The reversal of 66700737774 is 47773700766.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66700737774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1164589 + ... + 1220519.

It is an arithmetic number, because the mean of its divisors is an integer number (1734171660).

Almost surely, 266700737774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66700737774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83240239680).

66700737774 is an abundant number, since it is smaller than the sum of its proper divisors (99779741586).

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

66700737774 is a wasteful number, since it uses less digits than its factorization.

66700737774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56286 (or 56283 counting only the distinct ones).

The product of its (nonzero) digits is 7260624, while the sum is 54.

The spelling of 66700737774 in words is "sixty-six billion, seven hundred million, seven hundred thirty-seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 317 342 418 627 634 951 1254 1881 1902 2853 3487 3762 5706 6023 6974 10461 12046 18069 20922 31383 36138 54207 55931 62766 66253 108414 111862 132506 167793 198759 335586 397518 503379 596277 615241 1006758 1062689 1192554 1230482 1845723 2125378 3188067 3691446 5537169 6376134 9564201 11074338 11689579 17730127 19128402 23379158 35068737 35460254 53190381 70137474 105206211 106380762 159571143 195031397 210412422 319142286 336872413 390062794 585094191 673744826 1010617239 1170188382 1755282573 2021234478 3031851717 3510565146 3705596543 6063703434 7411193086 11116789629 22233579258 33350368887 66700737774