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30368726064 = 243446750177
BaseRepresentation
bin11100010010000111…
…011111110000110000
32220101110010010110000
4130102013133300300
5444143343213224
621541243110000
72123364624645
oct342207376060
986343103400
1030368726064
1111974399416
125a76512300
132b2c8a68c1
1416813cbdcc
15bcb1b10c9
hex7121dfc30

30368726064 has 100 divisors (see below), whose sum is σ = 88085873304. Its totient is φ = 10101030912.

The previous prime is 30368726009. The next prime is 30368726093. The reversal of 30368726064 is 46062786303.

30368726064 is a `hidden beast` number, since 3 + 0 + 36 + 8 + 7 + 2 + 606 + 4 = 666.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 580144 + ... + 630320.

Almost surely, 230368726064 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 30368726064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44042936652).

30368726064 is an abundant number, since it is smaller than the sum of its proper divisors (57717147240).

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

30368726064 is a wasteful number, since it uses less digits than its factorization.

30368726064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50664 (or 50649 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 30368726064 in words is "thirty billion, three hundred sixty-eight million, seven hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 467 648 934 1296 1401 1868 2802 3736 4203 5604 7472 8406 11208 12609 16812 22416 25218 33624 37827 50177 50436 67248 75654 100354 100872 150531 151308 200708 201744 301062 302616 401416 451593 602124 605232 802832 903186 1204248 1354779 1806372 2408496 2709558 3612744 4064337 5419116 7225488 8128674 10838232 16257348 21676464 23432659 32514696 46865318 65029392 70297977 93730636 140595954 187461272 210893931 281191908 374922544 421787862 562383816 632681793 843575724 1124767632 1265363586 1687151448 1898045379 2530727172 3374302896 3796090758 5061454344 7592181516 10122908688 15184363032 30368726064