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33420404352 = 273634313721
BaseRepresentation
bin11111001000000000…
…101110011010000000
310012021010101110001210
4133020000232122000
51021421110414402
623204135130120
72262121515126
oct371000563200
9105233343053
1033420404352
111319aa46495
126588513940
1331c7bb33ba
141890807916
15d0906206c
hex7c802e680

33420404352 has 64 divisors (see below), whose sum is σ = 88793415360. Its totient is φ = 11137566720.

The previous prime is 33420404323. The next prime is 33420404371. The reversal of 33420404352 is 25340402433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×334204043522 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2428852 + ... + 2442572.

It is an arithmetic number, because the mean of its divisors is an integer number (1387397115).

Almost surely, 233420404352 is an apocalyptic number.

33420404352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33420404352 is an abundant number, since it is smaller than the sum of its proper divisors (55373011008).

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

33420404352 is a wasteful number, since it uses less digits than its factorization.

33420404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20081 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 33420404352 its reverse (25340402433), we get a palindrome (58760806785).

The spelling of 33420404352 in words is "thirty-three billion, four hundred twenty million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 6343 12686 13721 19029 25372 27442 38058 41163 50744 54884 76116 82326 101488 109768 152232 164652 202976 219536 304464 329304 405952 439072 608928 658608 811904 878144 1217856 1317216 1756288 2435712 2634432 5268864 87032303 174064606 261096909 348129212 522193818 696258424 1044387636 1392516848 2088775272 2785033696 4177550544 5570067392 8355101088 11140134784 16710202176 33420404352