Search a number
-
+
30276630552 = 2337798392719
BaseRepresentation
bin11100001100101000…
…001011100000011000
32220011000211012011010
4130030220023200120
5444001304134202
621524153133520
72121166053630
oct341450134030
986130735133
1030276630552
1111927406723
125a4b6ba2a0
132b1679cc0c
1416730976c0
15bc306d76c
hex70ca0b818

30276630552 has 128 divisors (see below), whose sum is σ = 87736320000. Its totient is φ = 8527648896.

The previous prime is 30276630533. The next prime is 30276630583. The reversal of 30276630552 is 25503667203.

It is a self number, because there is not a number n which added to its sum of digits gives 30276630552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11133849 + ... + 11136567.

It is an arithmetic number, because the mean of its divisors is an integer number (685440000).

Almost surely, 230276630552 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 30276630552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868160000).

30276630552 is an abundant number, since it is smaller than the sum of its proper divisors (57459689448).

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

30276630552 is a wasteful number, since it uses less digits than its factorization.

30276630552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 30276630552 in words is "thirty billion, two hundred seventy-six million, six hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 839 948 1106 1659 1678 1896 2212 2517 2719 3318 3356 4424 5034 5438 5873 6636 6712 8157 10068 10876 11746 13272 16314 17619 19033 20136 21752 23492 32628 35238 38066 46984 57099 65256 66281 70476 76132 114198 132562 140952 152264 198843 214801 228396 265124 397686 429602 456792 463967 530248 644403 795372 859204 927934 1288806 1391901 1503607 1590744 1718408 1855868 2281241 2577612 2783802 3007214 3711736 4510821 4562482 5155224 5567604 6014428 6843723 9021642 9124964 11135208 12028856 13687446 15968687 18043284 18249928 27374892 31937374 36086568 47906061 54749784 63874748 95812122 127749496 180218039 191624244 360436078 383248488 540654117 720872156 1081308234 1261526273 1441744312 2162616468 2523052546 3784578819 4325232936 5046105092 7569157638 10092210184 15138315276 30276630552