Search a number
-
+
30333366960 = 2435139722233
BaseRepresentation
bin11100010000000000…
…100111001010110000
32220021222120200212120
4130100000213022300
5444110320220320
621533541154240
72122455236121
oct342000471260
986258520776
1030333366960
1111956438616
125a666bb980
132b25476560
14167a826048
15bc8029440
hex7100272b0

30333366960 has 80 divisors (see below), whose sum is σ = 101266789344. Its totient is φ = 7466674176.

The previous prime is 30333366949. The next prime is 30333366961. The reversal of 30333366960 is 6966333303.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×303333669602 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30333366961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857997 + ... + 4864236.

Almost surely, 230333366960 is an apocalyptic number.

30333366960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30333366960 is an abundant number, since it is smaller than the sum of its proper divisors (70933422384).

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

30333366960 is a wasteful number, since it uses less digits than its factorization.

30333366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722262 (or 9722256 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 42.

The spelling of 30333366960 in words is "thirty billion, three hundred thirty-three million, three hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 9722233 19444466 29166699 38888932 48611165 58333398 77777864 97222330 116666796 126389029 145833495 155555728 194444660 233333592 252778058 291666990 379167087 388889320 466667184 505556116 583333980 631945145 758334174 777778640 1011112232 1166667960 1263890290 1516668348 1895835435 2022224464 2333335920 2527780580 3033336696 3791670870 5055561160 6066673392 7583341740 10111122320 15166683480 30333366960