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30550302432 = 2532138839241
BaseRepresentation
bin11100011100111100…
…001001111011100000
32220212002210011101200
4130130330021323200
51000031334134212
622011251001200
72131031200056
oct343474117340
986762704350
1030550302432
1111a57938431
125b07299200
132b5b3b0140
14169b5761d6
15bdc0cb6dc
hex71cf09ee0

30550302432 has 144 divisors (see below), whose sum is σ = 93676394448. Its totient is φ = 9388431360.

The previous prime is 30550302371. The next prime is 30550302469. The reversal of 30550302432 is 23420305503.

30550302432 is a `hidden beast` number, since 30 + 550 + 30 + 24 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×305503024322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30550302396 and 30550302405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3301332 + ... + 3310572.

It is an arithmetic number, because the mean of its divisors is an integer number (650530517).

Almost surely, 230550302432 is an apocalyptic number.

30550302432 is a gapful number since it is divisible by the number (32) 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 30550302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46838197224).

30550302432 is an abundant number, since it is smaller than the sum of its proper divisors (63126092016).

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

30550302432 is a wasteful number, since it uses less digits than its factorization.

30550302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10153 (or 10142 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 30550302432 its reverse (23420305503), we get a palindrome (53970607935).

The spelling of 30550302432 in words is "thirty billion, five hundred fifty million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 883 936 1248 1766 1872 2649 3532 3744 5298 7064 7947 9241 10596 11479 14128 15894 18482 21192 22958 27723 28256 31788 34437 36964 42384 45916 55446 63576 68874 73928 83169 84768 91832 103311 110892 120133 127152 137748 147856 166338 183664 206622 221784 240266 254304 275496 295712 332676 360399 367328 413244 443568 480532 550992 665352 720798 826488 887136 961064 1081197 1101984 1330704 1441596 1652976 1922128 2162394 2661408 2883192 3305952 3844256 4324788 5766384 8159803 8649576 11532768 16319606 17299152 24479409 32639212 34598304 48958818 65278424 73438227 97917636 106077439 130556848 146876454 195835272 212154878 261113696 293752908 318232317 391670544 424309756 587505816 636464634 783341088 848619512 954696951 1175011632 1272929268 1697239024 1909393902 2350023264 2545858536 3394478048 3818787804 5091717072 7637575608 10183434144 15275151216 30550302432