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30393040896 = 216322272
BaseRepresentation
bin11100010011100100…
…010000000000000000
32220110010212110010100
4130103210100000000
5444221104302041
621543512202400
72124111404451
oct342344200000
986403773110
1030393040896
1111987096519
125a82699400
132b3493ac8a
14168471b128
15bcd3b56b6
hex713910000

30393040896 has 153 divisors (see below), whose sum is σ = 88189942711. Its totient is φ = 10086383616.

The previous prime is 30393040823. The next prime is 30393040907. The reversal of 30393040896 is 69804039303.

The square root of 30393040896 is 174336.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133889935 + ... + 133890161.

Almost surely, 230393040896 is an apocalyptic number.

30393040896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30393040896 is the 174336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30393040896

30393040896 is an abundant number, since it is smaller than the sum of its proper divisors (57796901815).

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

30393040896 is an frugal number, since it uses more digits than its factorization.

30393040896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30393040896 in words is "thirty billion, three hundred ninety-three million, forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 256 288 384 454 512 576 681 768 908 1024 1152 1362 1536 1816 2043 2048 2304 2724 3072 3632 4086 4096 4608 5448 6144 7264 8172 8192 9216 10896 12288 14528 16344 16384 18432 21792 24576 29056 32688 32768 36864 43584 49152 51529 58112 65376 65536 73728 87168 98304 103058 116224 130752 147456 154587 174336 196608 206116 232448 261504 294912 309174 348672 412232 463761 464896 523008 589824 618348 697344 824464 927522 929792 1046016 1236696 1394688 1648928 1855044 1859584 2092032 2473392 2789376 3297856 3710088 3719168 4184064 4946784 5578752 6595712 7420176 7438336 8368128 9893568 11157504 13191424 14840352 14876672 16736256 19787136 22315008 26382848 29680704 33472512 39574272 44630016 52765696 59361408 66945024 79148544 105531392 118722816 133890048 158297088 211062784 237445632 316594176 422125568 474891264 633188352 844251136 949782528 1266376704 1688502272 1899565056 2532753408 3377004544 3799130112 5065506816 7598260224 10131013632 15196520448 30393040896