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30082757376 = 28373114199
BaseRepresentation
bin11100000001000100…
…100111001100000000
32212122112000102011010
4130001010213030000
5443102141214001
621453025520520
72113323135000
oct340104471400
985575012133
1030082757376
1111837a28961
1259b67a3140
132ab557c569
14165542c000
15bb10248d6
hex701127300

30082757376 has 144 divisors (see below), whose sum is σ = 93369920000. Its totient is φ = 8594998272.

The previous prime is 30082757357. The next prime is 30082757401. The reversal of 30082757376 is 67375728003.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206325 + ... + 320523.

Almost surely, 230082757376 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 30082757376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46684960000).

30082757376 is an abundant number, since it is smaller than the sum of its proper divisors (63287162624).

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

30082757376 is an equidigital number, since it uses as much as digits as its factorization.

30082757376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114239 (or 114211 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 30082757376 in words is "thirty billion, eighty-two million, seven hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2058 2352 2688 2744 3136 4116 4704 5376 5488 6272 8232 9408 10976 12544 16464 18816 21952 32928 37632 43904 65856 87808 114199 131712 228398 263424 342597 456796 685194 799393 913592 1370388 1598786 1827184 2398179 2740776 3197572 3654368 4796358 5481552 5595751 6395144 7308736 9592716 10963104 11191502 12790288 14617472 16787253 19185432 21926208 22383004 25580576 29234944 33574506 38370864 39170257 43852416 44766008 51161152 67149012 76741728 78340514 87704832 89532016 102322304 117510771 134298024 153483456 156681028 179064032 204644608 235021542 268596048 306966912 313362056 358128064 470043084 537192096 613933824 626724112 716256128 940086168 1074384192 1253448224 1432512256 1880172336 2148768384 2506896448 3760344672 4297536768 5013792896 7520689344 10027585792 15041378688 30082757376