Search a number
-
+
1207730665024 = 26132105672
BaseRepresentation
bin10001100100110010010…
…110110111011001000000
311021110100211022120202021
4101210302112313121000
5124241413022240044
62322453535331224
7153153456162022
oct21446226673100
94243324276667
101207730665024
11426217525154
12176096680b14
1389b720a8900
1442651122012
1521638732e84
hex119325b7640

1207730665024 has 63 divisors (see below), whose sum is σ = 2595370276737. Its totient is φ = 557361402624.

The previous prime is 1207730665019. The next prime is 1207730665069. The reversal of 1207730665024 is 4205660377021.

The square root of 1207730665024 is 1098968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 178658382400 + 1029072282624 = 422680^2 + 1014432^2 .

It is a super-2 number, since 2×12077306650242 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114287389 + ... + 114297955.

It is an arithmetic number, because the mean of its divisors is an integer number (41196353599).

Almost surely, 21207730665024 is an apocalyptic number.

1207730665024 is the 1098968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1207730665024

1207730665024 is an abundant number, since it is smaller than the sum of its proper divisors (1387639611713).

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

1207730665024 is an frugal number, since it uses more digits than its factorization.

1207730665024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21172 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 1207730665024 in words is "one trillion, two hundred seven billion, seven hundred thirty million, six hundred sixty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10567 10816 21134 42268 84536 137371 169072 274742 338144 549484 676288 1098968 1785823 2197936 3571646 4395872 7143292 8791744 14286584 28573168 57146336 111661489 114292672 223322978 446645956 893291912 1451599357 1786583824 2903198714 3573167648 5806397428 7146335296 11612794856 18870791641 23225589712 37741583282 46451179424 75483166564 92902358848 150966333128 301932666256 603865332512 1207730665024