Search a number
-
+
30505508892 = 223222325115139
BaseRepresentation
bin11100011010010001…
…010010000000011100
32220201222111102012200
4130122101102000130
5444433402241032
622003010531500
72126645355465
oct343221220034
986658442180
1030505508892
1111a34623381
125ab4296b90
132b520287a1
141695635d6c
15bd81ce47c
hex71a45201c

30505508892 has 72 divisors (see below), whose sum is σ = 77770667520. Its totient is φ = 10081908000.

The previous prime is 30505508851. The next prime is 30505508909. The reversal of 30505508892 is 29880550503.

30505508892 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 550 + 8 + 8 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2007459 + ... + 2022597.

It is an arithmetic number, because the mean of its divisors is an integer number (1080148160).

Almost surely, 230505508892 is an apocalyptic number.

It is an amenable number.

30505508892 is an abundant number, since it is smaller than the sum of its proper divisors (47265158628).

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

30505508892 is a wasteful number, since it uses less digits than its factorization.

30505508892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15623 (or 15618 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 30505508892 in words is "thirty billion, five hundred five million, five hundred eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 223 251 446 502 669 753 892 1004 1338 1506 2007 2259 2676 3012 4014 4518 8028 9036 15139 30278 45417 55973 60556 90834 111946 136251 167919 181668 223892 272502 335838 503757 545004 671676 1007514 2015028 3375997 3799889 6751994 7599778 10127991 11399667 13503988 15199556 20255982 22799334 30383973 34199001 40511964 45598668 60767946 68398002 121535892 136796004 847375247 1694750494 2542125741 3389500988 5084251482 7626377223 10168502964 15252754446 30505508892