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30342663216 = 24321278831879
BaseRepresentation
bin11100010000100100…
…000100110000110000
32220022122001222221100
4130100210010300300
5444120210210331
621534512324400
72122630244655
oct342044046060
986278058840
1030342663216
1111960707a78
125a69843700
132b2737c9b8
14167bb65c2c
15bc8c63ae6
hex710904c30

30342663216 has 120 divisors (see below), whose sum is σ = 85728481280. Its totient is φ = 10017883008.

The previous prime is 30342663167. The next prime is 30342663227. The reversal of 30342663216 is 61236624303.

30342663216 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 2 + 6 + 632 + 16 = 666.

It is a super-2 number, since 2×303426632162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 16147365 + ... + 16149243.

Almost surely, 230342663216 is an apocalyptic number.

30342663216 is a gapful number since it is divisible by the number (36) 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 30342663216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42864240640).

30342663216 is an abundant number, since it is smaller than the sum of its proper divisors (55385818064).

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

30342663216 is a wasteful number, since it uses less digits than its factorization.

30342663216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 30342663216 in words is "thirty billion, three hundred forty-two million, six hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 883 1016 1143 1524 1766 1879 2032 2286 2649 3048 3532 3758 4572 5298 5637 6096 7064 7516 7947 9144 10596 11274 14128 15032 15894 16911 18288 21192 22548 30064 31788 33822 42384 45096 63576 67644 90192 112141 127152 135288 224282 238633 270576 336423 448564 477266 672846 715899 897128 954532 1009269 1345692 1431798 1659157 1794256 1909064 2018538 2147697 2691384 2863596 3318314 3818128 4037076 4295394 4977471 5382768 5727192 6636628 8074152 8590788 9954942 11454384 13273256 14932413 16148304 17181576 19909884 26546512 29864826 34363152 39819768 59729652 79639536 119459304 210712939 238918608 421425878 632138817 842851756 1264277634 1685703512 1896416451 2528555268 3371407024 3792832902 5057110536 7585665804 10114221072 15171331608 30342663216