Search a number
-
+
66977821504 = 2611374754709
BaseRepresentation
bin111110011000001100…
…000111001101000000
320101212210120212100201
4332120030013031000
52044132310242004
650434051054544
74560526042426
oct763014071500
9211783525321
1066977821504
11264502636a0
1210b928a1454
136415299259
1433554b9116
151b2013a6a4
hexf98307340

66977821504 has 112 divisors (see below), whose sum is σ = 152081544960. Its totient is φ = 28990863360.

The previous prime is 66977821429. The next prime is 66977821571. The reversal of 66977821504 is 40512877966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196902 + ... + 1251610.

Almost surely, 266977821504 is an apocalyptic number.

66977821504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66977821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76040772480).

66977821504 is an abundant number, since it is smaller than the sum of its proper divisors (85103723456).

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

66977821504 is a wasteful number, since it uses less digits than its factorization.

66977821504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54816 (or 54806 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 66977821504 in words is "sixty-six billion, nine hundred seventy-seven million, eight hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 47 64 74 88 94 148 176 188 296 352 376 407 517 592 704 752 814 1034 1184 1504 1628 1739 2068 2368 3008 3256 3478 4136 6512 6956 8272 13024 13912 16544 19129 26048 27824 33088 38258 54709 55648 76516 109418 111296 153032 218836 306064 437672 601799 612128 875344 1203598 1224256 1750688 2024233 2407196 2571323 3501376 4048466 4814392 5142646 8096932 9628784 10285292 16193864 19257568 20570584 22266563 28284553 32387728 38515136 41141168 44533126 56569106 64775456 82282336 89066252 95138951 113138212 129550912 164564672 178132504 190277902 226276424 356265008 380555804 452552848 712530016 761111608 905105696 1046528461 1425060032 1522223216 1810211392 2093056922 3044446432 4186113844 6088892864 8372227688 16744455376 33488910752 66977821504