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30528683300 = 225217160911161
BaseRepresentation
bin11100011011101001…
…101011110100100100
32220210121002210112002
4130123221223310210
51000010320331200
622005155344432
72130346345403
oct343351536444
986717083462
1030528683300
1111a46711685
125abbbb2118
132b56a80a5b
14169874963a
15bda25abd5
hex71ba6bd24

30528683300 has 72 divisors (see below), whose sum is σ = 70194022920. Its totient is φ = 11484979200.

The previous prime is 30528683299. The next prime is 30528683323. The reversal of 30528683300 is 338682503.

It can be written as a sum of positive squares in 12 ways, for example, as 4370796544 + 26157886756 = 66112^2 + 161734^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2729720 + ... + 2740880.

It is an arithmetic number, because the mean of its divisors is an integer number (974916985).

Almost surely, 230528683300 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 30528683300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097011460).

30528683300 is an abundant number, since it is smaller than the sum of its proper divisors (39665339620).

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

30528683300 is a wasteful number, since it uses less digits than its factorization.

30528683300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12794 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 30528683300 in words is "thirty billion, five hundred twenty-eight million, six hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1609 1700 3218 6436 8045 11161 16090 22322 27353 32180 40225 44644 54706 55805 80450 109412 111610 136765 160900 189737 223220 273530 279025 379474 547060 558050 683825 758948 948685 1116100 1367650 1897370 2735300 3794740 4743425 9486850 17958049 18973700 35916098 71832196 89790245 179580490 305286833 359160980 448951225 610573666 897902450 1221147332 1526434165 1795804900 3052868330 6105736660 7632170825 15264341650 30528683300