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30228786912 = 2531723397919
BaseRepresentation
bin11100001001110001…
…101010111011100000
32220000200210111000110
4130021301222323200
5443402032140122
621515323451320
72120045310042
oct341161527340
986020714013
1030228786912
11119023a9025
125a37686b40
132b098bb17c
14166a9a1a92
15bbdc6c90c
hex709c6aee0

30228786912 has 96 divisors (see below), whose sum is σ = 84064780800. Its totient is φ = 9478289408.

The previous prime is 30228786911. The next prime is 30228786937. The reversal of 30228786912 is 21968782203.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×302287869122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30228786911) 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 15 ways as a sum of consecutive naturals, for example, 3813289 + ... + 3821207.

It is an arithmetic number, because the mean of its divisors is an integer number (875674800).

Almost surely, 230228786912 is an apocalyptic number.

30228786912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30228786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032390400).

30228786912 is an abundant number, since it is smaller than the sum of its proper divisors (53835993888).

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

30228786912 is a wasteful number, since it uses less digits than its factorization.

30228786912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 30228786912 in words is "thirty billion, two hundred twenty-eight million, seven hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2339 4678 7017 7919 9356 14034 15838 18712 23757 28068 31676 37424 39763 47514 56136 63352 74848 79526 95028 112272 119289 126704 134623 159052 190056 224544 238578 253408 269246 318104 380112 403869 477156 538492 636208 760224 807738 954312 1076984 1272416 1615476 1908624 2153968 3230952 3817248 4307936 6461904 12923808 18522541 37045082 55567623 74090164 111135246 148180328 222270492 296360656 314883197 444540984 592721312 629766394 889081968 944649591 1259532788 1778163936 1889299182 2519065576 3778598364 5038131152 7557196728 10076262304 15114393456 30228786912