Search a number
-
+
17530428204 = 223219313072693
BaseRepresentation
bin10000010100111001…
…010001101100101100
31200020201121000121200
4100110321101230230
5241400242200304
612015305525500
71160264116062
oct202471215454
950221530550
1017530428204
1174865191a3
123492aa3890
131864b70353
14bc4316032
156c9050e39
hex414e51b2c

17530428204 has 144 divisors (see below), whose sum is σ = 48324756480. Its totient is φ = 5337912960.

The previous prime is 17530428163. The next prime is 17530428233. The reversal of 17530428204 is 40282403571.

It is a happy number.

17530428204 is a `hidden beast` number, since 1 + 7 + 530 + 42 + 82 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6508282 + ... + 6510974.

Almost surely, 217530428204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17530428204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24162378240).

17530428204 is an abundant number, since it is smaller than the sum of its proper divisors (30794328276).

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

17530428204 is a wasteful number, since it uses less digits than its factorization.

17530428204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 17530428204 in words is "seventeen billion, five hundred thirty million, four hundred twenty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 307 342 372 558 589 614 684 921 1116 1178 1228 1767 1842 2356 2693 2763 3534 3684 5301 5386 5526 5833 7068 8079 9517 10602 10772 11052 11666 16158 17499 19034 21204 23332 24237 28551 32316 34998 38068 48474 51167 52497 57102 69996 83483 85653 96948 102334 104994 114204 153501 166966 171306 180823 204668 209988 250449 307002 333932 342612 361646 460503 500898 542469 614004 723292 751347 826751 921006 1001796 1084938 1502694 1586177 1627407 1653502 1842012 2169876 2480253 3005388 3172354 3254814 3307004 4758531 4960506 6344708 6509628 7440759 9517062 9921012 14275593 14881518 15708269 19034124 25629281 28551186 29763036 31416538 47124807 51258562 57102372 62833076 76887843 94249614 102517124 141374421 153775686 188499228 230663529 282748842 307551372 461327058 486956339 565497684 922654116 973912678 1460869017 1947825356 2921738034 4382607051 5843476068 8765214102 17530428204