Search a number
-
+
147507770781 = 32721734956377
BaseRepresentation
bin1000100101100000100…
…1011111010110011101
3112002202001220011002200
42021120021133112131
54404043442131111
6151433015242113
713441244235600
oct2113011372635
9462661804080
10147507770781
1157615322488
1224708079339
1310baa141007
1471d47a4337
153c84ddb256
hex225825f59d

147507770781 has 72 divisors (see below), whose sum is σ = 263189417400. Its totient is φ = 79103195136.

The previous prime is 147507770749. The next prime is 147507770801. The reversal of 147507770781 is 187077705741.

147507770781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16221843225 + 131285927556 = 127365^2 + 362334^2 .

It is not a de Polignac number, because 147507770781 - 25 = 147507770749 is a prime.

It is a super-2 number, since 2×1475077707812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147507770741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2588265 + ... + 2644641.

It is an arithmetic number, because the mean of its divisors is an integer number (3655408575).

Almost surely, 2147507770781 is an apocalyptic number.

It is an amenable number.

147507770781 is a deficient number, since it is larger than the sum of its proper divisors (115681646619).

147507770781 is a wasteful number, since it uses less digits than its factorization.

147507770781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56763 (or 56753 counting only the distinct ones).

The product of its (nonzero) digits is 2689120, while the sum is 54.

The spelling of 147507770781 in words is "one hundred forty-seven billion, five hundred seven million, seven hundred seventy thousand, seven hundred eighty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 349 357 441 833 1047 1071 2443 2499 3141 5933 7329 7497 17101 17799 21987 41531 51303 53397 56377 124593 153909 169131 290717 373779 394639 507393 872151 958409 1183917 2616453 2762473 2875227 3551751 6708863 8287419 8625681 19675573 20126589 24862257 46962041 59026719 60379767 137729011 140886123 177080157 334484741 413187033 422658369 964103077 1003454223 1239561099 2341393187 2892309231 3010362669 7024179561 8676927693 16389752309 21072538683 49169256927 147507770781