Search a number
-
+
33188094976 = 21056932
BaseRepresentation
bin11110111010001010…
…100010010000000000
310011122221020220111211
4132322022202100000
51020432123014401
623125120015504
72253301103251
oct367212422000
9104587226454
1033188094976
11130908a5a73
126522761594
13318ba25c2a
14186ba14b28
15ce3974951
hex7ba2a2400

33188094976 has 33 divisors (see below), whose sum is σ = 66355435321. Its totient is φ = 16591132672.

The previous prime is 33188094959. The next prime is 33188094983. The reversal of 33188094976 is 67949088133.

The square root of 33188094976 is 182176.

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

It can be written as a sum of positive squares in only one way, i.e., 4075545600 + 29112549376 = 63840^2 + 170624^2 .

It is a super-2 number, since 2×331880949762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33188094976.

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 2 ways as a sum of consecutive naturals, for example, 5826786 + ... + 5832478.

Almost surely, 233188094976 is an apocalyptic number.

33188094976 is the 182176-th square number.

It is an amenable number.

33188094976 is a deficient number, since it is larger than the sum of its proper divisors (33167340345).

33188094976 is an frugal number, since it uses more digits than its factorization.

33188094976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 33188094976 in words is "thirty-three billion, one hundred eighty-eight million, ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 5693 11386 22772 45544 91088 182176 364352 728704 1457408 2914816 5829632 32410249 64820498 129640996 259281992 518563984 1037127968 2074255936 4148511872 8297023744 16594047488 33188094976