Search a number
-
+
30352522176 = 263421127749
BaseRepresentation
bin11100010001001001…
…101011101111000000
32220100022121212220000
4130101021223233000
5444130221202201
621535503520000
72123110116204
oct342111535700
986308555800
1030352522176
1111966231179
125a70bb9000
132b294222c2
14167d1b0b04
15bc9a5ed86
hex71126bbc0

30352522176 has 140 divisors (see below), whose sum is σ = 90404061000. Its totient is φ = 10069194240.

The previous prime is 30352522159. The next prime is 30352522201. The reversal of 30352522176 is 67122525303.

30352522176 is a `hidden beast` number, since 30 + 35 + 2 + 522 + 1 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30352522176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1079950 + ... + 1107698.

Almost surely, 230352522176 is an apocalyptic number.

30352522176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30352522176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45202030500).

30352522176 is an abundant number, since it is smaller than the sum of its proper divisors (60051538824).

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

30352522176 is a wasteful number, since it uses less digits than its factorization.

30352522176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27984 (or 27965 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 30352522176 in words is "thirty billion, three hundred fifty-two million, five hundred twenty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 211 216 288 324 422 432 576 633 648 844 864 1266 1296 1688 1728 1899 2532 2592 3376 3798 5064 5184 5697 6752 7596 10128 11394 13504 15192 17091 20256 22788 27749 30384 34182 40512 45576 55498 60768 68364 83247 91152 110996 121536 136728 166494 182304 221992 249741 273456 332988 364608 443984 499482 546912 665976 749223 887968 998964 1093824 1331952 1498446 1775936 1997928 2247669 2663904 2996892 3995856 4495338 5327808 5855039 5993784 7991712 8990676 11710078 11987568 15983424 17565117 17981352 23420156 23975136 35130234 35962704 46840312 47950272 52695351 70260468 71925408 93680624 105390702 140520936 143850816 158086053 187361248 210781404 281041872 316172106 374722496 421562808 474258159 562083744 632344212 843125616 948516318 1124167488 1264688424 1686251232 1897032636 2529376848 3372502464 3794065272 5058753696 7588130544 10117507392 15176261088 30352522176