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30575676520 = 2352379974337
BaseRepresentation
bin11100011110011100…
…111100110001101000
32220220212112022002201
4130132130330301220
51000104333122040
622013554505544
72131456651024
oct343634746150
986825468081
1030575676520
1111a70199354
125b138952b4
132b637256ac
1416a0a9d384
15bde43ea9a
hex71e73cc68

30575676520 has 128 divisors (see below), whose sum is σ = 73461427200. Its totient is φ = 11428724736.

The previous prime is 30575676499. The next prime is 30575676529. The reversal of 30575676520 is 2567657503.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (30575676529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7047792 + ... + 7052128.

It is an arithmetic number, because the mean of its divisors is an integer number (573917400).

Almost surely, 230575676520 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 30575676520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36730713600).

30575676520 is an abundant number, since it is smaller than the sum of its proper divisors (42885750680).

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

30575676520 is a wasteful number, since it uses less digits than its factorization.

30575676520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 46.

The spelling of 30575676520 in words is "thirty billion, five hundred seventy-five million, six hundred seventy-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 97 115 158 184 194 230 316 388 395 460 485 632 776 790 920 970 1580 1817 1940 2231 3160 3634 3880 4337 4462 7268 7663 8674 8924 9085 11155 14536 15326 17348 17848 18170 21685 22310 30652 34696 36340 38315 43370 44620 61304 72680 76630 86740 89240 99751 153260 173480 176249 199502 306520 342623 352498 399004 420689 498755 685246 704996 798008 841378 881245 997510 1370492 1409992 1682756 1713115 1762490 1995020 2103445 2740984 3365512 3426230 3524980 3990040 4206890 6852460 7049960 7880329 8413780 9675847 13704920 15760658 16827560 19351694 31521316 33234431 38703388 39401645 48379235 63042632 66468862 77406776 78803290 96758470 132937724 157606580 166172155 193516940 265875448 315213160 332344310 387033880 664688620 764391913 1329377240 1528783826 3057567652 3821959565 6115135304 7643919130 15287838260 30575676520