Search a number
-
+
1027304869968 = 243213548773969
BaseRepresentation
bin11101111001100000010…
…01000101000001010000
310122012122122100112111100
432330300021011001100
5113312410021314333
62103534244344400
7134135400213636
oct16746011050120
93565578315440
101027304869968
1136674a8a9933
121471223a5100
1375b4a190a30
1437a16969356
151bac896d213
hexef30245050

1027304869968 has 60 divisors (see below), whose sum is σ = 3096182738740. Its totient is φ = 316093805568.

The previous prime is 1027304869879. The next prime is 1027304869999. The reversal of 1027304869968 is 8699684037201.

1027304869968 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 3 + 0 + 486 + 99 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178533291024 + 848771578944 = 422532^2 + 921288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274385113 + ... + 274388856.

Almost surely, 21027304869968 is an apocalyptic number.

1027304869968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1027304869968 is an abundant number, since it is smaller than the sum of its proper divisors (2068877868772).

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

1027304869968 is a wasteful number, since it uses less digits than its factorization.

1027304869968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548773996 (or 548773987 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1027304869968 in words is "one trillion, twenty-seven billion, three hundred four million, eight hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 548773969 1097547938 1646321907 2195095876 3292643814 4390191752 4938965721 6585287628 7134061597 8780383504 9877931442 13170575256 14268123194 19755862884 21402184791 26341150512 28536246388 39511725768 42804369582 57072492776 64206554373 79023451536 85608739164 114144985552 128413108746 171217478328 256826217492 342434956656 513652434984 1027304869968