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33368168040 = 23351312122657
BaseRepresentation
bin11111000100111001…
…011101011001101000
310012010111002120022120
4133010321131121220
51021314222334130
623155031351240
72260615514514
oct370471353150
9105114076276
1033368168040
1113173508589
126572b22520
1331ba12413c
1418878cb144
15d04694910
hex7c4e5d668

33368168040 has 64 divisors (see below), whose sum is σ = 100868708160. Its totient is φ = 8830248960.

The previous prime is 33368168033. The next prime is 33368168051. The reversal of 33368168040 is 4086186333.

It is a super-2 number, since 2×333681680402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33368167983 and 33368168001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1045609 + ... + 1077048.

It is an arithmetic number, because the mean of its divisors is an integer number (1576073565).

Almost surely, 233368168040 is an apocalyptic number.

33368168040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33368168040 is an abundant number, since it is smaller than the sum of its proper divisors (67500540120).

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

33368168040 is a wasteful number, since it uses less digits than its factorization.

33368168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122802 (or 2122798 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 33368168040 in words is "thirty-three billion, three hundred sixty-eight million, one hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 2122657 4245314 6367971 8490628 10613285 12735942 16981256 21226570 25471884 31839855 42453140 50943768 63679710 84906280 127359420 254718840 278068067 556136134 834204201 1112272268 1390340335 1668408402 2224544536 2780680670 3336816804 4171021005 5561361340 6673633608 8342042010 11122722680 16684084020 33368168040