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30813497304 = 233193110321163
BaseRepresentation
bin11100101100101000…
…001010011111011000
32221112110000211212220
4130230220022133120
51001101223403204
622053332104040
72140405256052
oct345450123730
987473024786
1030813497304
1112082463657
125b7b465020
132ba0a92655
1416c44c88d2
15c0526a1d9
hex72ca0a7d8

30813497304 has 128 divisors (see below), whose sum is σ = 84520550400. Its totient is φ = 9324823680.

The previous prime is 30813497303. The next prime is 30813497327. The reversal of 30813497304 is 40379431803.

It is a super-2 number, since 2×308134973042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30813497303) 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 31 ways as a sum of consecutive naturals, for example, 1445427 + ... + 1466589.

It is an arithmetic number, because the mean of its divisors is an integer number (660316800).

Almost surely, 230813497304 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 30813497304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260275200).

30813497304 is an abundant number, since it is smaller than the sum of its proper divisors (53707053096).

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

30813497304 is a wasteful number, since it uses less digits than its factorization.

30813497304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21325 (or 21321 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 30813497304 in words is "thirty billion, eight hundred thirteen million, four hundred ninety-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 103 114 124 152 186 206 228 248 309 372 412 456 589 618 744 824 1178 1236 1767 1957 2356 2472 3193 3534 3914 4712 5871 6386 7068 7828 9579 11742 12772 14136 15656 19158 21163 23484 25544 38316 42326 46968 60667 63489 76632 84652 121334 126978 169304 182001 242668 253956 364002 402097 485336 507912 656053 728004 804194 1206291 1312106 1456008 1608388 1968159 2179789 2412582 2624212 3216776 3936318 4359578 4825164 5248424 6539367 7872636 8719156 9650328 12465007 13078734 15745272 17438312 24930014 26157468 37395021 41415991 49860028 52314936 67573459 74790042 82831982 99720056 124247973 135146918 149580084 165663964 202720377 248495946 270293836 299160168 331327928 405440754 496991892 540587672 810881508 993983784 1283895721 1621763016 2567791442 3851687163 5135582884 7703374326 10271165768 15406748652 30813497304