Search a number
-
+
30395267496 = 2334114264207
BaseRepresentation
bin11100010011101100…
…101111100110101000
32220110022001120110000
4130103230233212220
5444222142024441
621544032023000
72124136340136
oct342354574650
986408046400
1030395267496
1111988377390
125a83391a60
132b3523a5a9
141684b3a756
15bcd6a52b6
hex713b2f9a8

30395267496 has 80 divisors (see below), whose sum is σ = 92874450240. Its totient is φ = 9210684960.

The previous prime is 30395267491. The next prime is 30395267501. The reversal of 30395267496 is 69476259303.

30395267496 is a `hidden beast` number, since 3 + 0 + 3 + 95 + 2 + 67 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (30395267491) and next prime (30395267501).

It is a super-2 number, since 2×303952674962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30395267491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2124976 + ... + 2139231.

It is an arithmetic number, because the mean of its divisors is an integer number (1160930628).

Almost surely, 230395267496 is an apocalyptic number.

30395267496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30395267496 is an abundant number, since it is smaller than the sum of its proper divisors (62479182744).

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

30395267496 is a wasteful number, since it uses less digits than its factorization.

30395267496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264236 (or 4264223 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 30395267496 in words is "thirty billion, three hundred ninety-five million, two hundred sixty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 4264207 8528414 12792621 17056828 25585242 34113656 38377863 46906277 51170484 76755726 93812554 102340968 115133589 140718831 153511452 187625108 230267178 281437662 307022904 345400767 375250216 422156493 460534356 562875324 690801534 844312986 921068712 1125750648 1266469479 1381603068 1688625972 2532938958 2763206136 3377251944 3799408437 5065877916 7598816874 10131755832 15197633748 30395267496