Search a number
-
+
30271667958 = 23272193158271
BaseRepresentation
bin11100001100010101…
…001111111011110110
32220010200111001202100
4130030111033323312
5443444021333313
621523454522530
72121105634500
oct341425177366
986120431670
1030271667958
1111924627204
125a49b06446
132b1575317c
141672564d70
15bc28dd173
hex70c54fef6

30271667958 has 144 divisors (see below), whose sum is σ = 82904739840. Its totient is φ = 7929381600.

The previous prime is 30271667957. The next prime is 30271667969. The reversal of 30271667958 is 85976617203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30271667957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 490363 + ... + 548633.

It is an arithmetic number, because the mean of its divisors is an integer number (575727360).

Almost surely, 230271667958 is an apocalyptic number.

30271667958 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30271667958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452369920).

30271667958 is an abundant number, since it is smaller than the sum of its proper divisors (52633071882).

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

30271667958 is a wasteful number, since it uses less digits than its factorization.

30271667958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58343 (or 58333 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 30271667958 in words is "thirty billion, two hundred seventy-one million, six hundred sixty-seven thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 49 57 62 63 93 98 114 126 133 147 171 186 217 266 279 294 342 399 434 441 558 589 651 798 882 931 1178 1197 1302 1519 1767 1862 1953 2394 2793 3038 3534 3906 4123 4557 5301 5586 8246 8379 9114 10602 12369 13671 16758 24738 27342 28861 37107 57722 58271 74214 86583 116542 173166 174813 259749 349626 407897 519498 524439 815794 1048878 1107149 1223691 1806401 2214298 2447382 2855279 3321447 3612802 3671073 5419203 5710558 6642894 7342146 7750043 8565837 9964341 10838406 12644807 15500086 16257609 17131674 19928682 23250129 25289614 25697511 32515218 34321619 37934421 46500258 51395022 54250301 68643238 69750387 75868842 88513649 102964857 108500602 113803263 139500774 162750903 177027298 205929714 227606526 240251333 265540947 308894571 325501806 480502666 488252709 531081894 617789142 720753999 796622841 976505418 1441507998 1593245682 1681759331 2162261997 3363518662 4324523994 5045277993 10090555986 15135833979 30271667958