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30893301760 = 21357191049
BaseRepresentation
bin11100110001011000…
…100110000000000000
32221202000012100000111
4130301120212000000
51001232141124020
622105302401104
72142364506106
oct346130460000
987660170014
1030893301760
1112113510952
125ba2130194
132bb4484a19
1416d0d3dc76
15c0c280d5a
hex731626000

30893301760 has 112 divisors (see below), whose sum is σ = 74313288000. Its totient is φ = 12328370176.

The previous prime is 30893301739. The next prime is 30893301767. The reversal of 30893301760 is 6710339803.

It is a super-3 number, since 3×308933017603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30893301767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29449716 + ... + 29450764.

It is an arithmetic number, because the mean of its divisors is an integer number (663511500).

Almost surely, 230893301760 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 30893301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156644000).

30893301760 is an abundant number, since it is smaller than the sum of its proper divisors (43419986240).

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

30893301760 is an equidigital number, since it uses as much as digits as its factorization.

30893301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 30893301760 in words is "thirty billion, eight hundred ninety-three million, three hundred one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 719 1024 1049 1280 1438 2048 2098 2560 2876 3595 4096 4196 5120 5245 5752 7190 8192 8392 10240 10490 11504 14380 16784 20480 20980 23008 28760 33568 40960 41960 46016 57520 67136 83920 92032 115040 134272 167840 184064 230080 268544 335680 368128 460160 537088 671360 736256 754231 920320 1074176 1342720 1472512 1508462 1840640 2148352 2685440 2945024 3016924 3681280 3771155 4296704 5370880 5890048 6033848 7362560 7542310 8593408 10741760 12067696 14725120 15084620 21483520 24135392 29450240 30169240 42967040 48270784 60338480 96541568 120676960 193083136 241353920 386166272 482707840 772332544 965415680 1544665088 1930831360 3089330176 3861662720 6178660352 7723325440 15446650880 30893301760