Search a number
-
+
3303020000928 = 253316716565459
BaseRepresentation
bin110000000100001011010…
…101010111011010100000
3102200202200010212020122110
4300010023111113122200
5413104041110012203
611005215245435320
7460430625524034
oct60041325273240
912622603766573
103303020000928
11106389175440a
1245419286bb40
131ac6202269bb
14b5c1d16a1c4
155adbc0e7d03
hex3010b5576a0

3303020000928 has 96 divisors (see below), whose sum is σ = 9083703121920. Its totient is φ = 1049587418880.

The previous prime is 3303020000927. The next prime is 3303020001011. The reversal of 3303020000928 is 8290000203033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33030200009282 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3303020000895 and 3303020000904.

It is not an unprimeable number, because it can be changed into a prime (3303020000923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8083338 + ... + 8482121.

It is an arithmetic number, because the mean of its divisors is an integer number (94621907520).

Almost surely, 23303020000928 is an apocalyptic number.

It is an amenable number.

3303020000928 is an abundant number, since it is smaller than the sum of its proper divisors (5780683120992).

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

3303020000928 is a wasteful number, since it uses less digits than its factorization.

3303020000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16565570 (or 16565562 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 3303020000928 in words is "three trillion, three hundred three billion, twenty million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 67 93 96 124 134 186 201 248 268 372 402 496 536 744 804 992 1072 1488 1608 2077 2144 2976 3216 4154 6231 6432 8308 12462 16616 24924 33232 49848 66464 99696 199392 16565459 33130918 49696377 66261836 99392754 132523672 198785508 265047344 397571016 513529229 530094688 795142032 1027058458 1109885753 1540587687 1590284064 2054116916 2219771506 3081175374 3329657259 4108233832 4439543012 6162350748 6659314518 8216467664 8879086024 12324701496 13318629036 16432935328 17758172048 24649402992 26637258072 34406458343 35516344096 49298805984 53274516144 68812916686 103219375029 106549032288 137625833372 206438750058 275251666744 412877500116 550503333488 825755000232 1101006666976 1651510000464 3303020000928