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33468807540 = 22357277287681
BaseRepresentation
bin11111001010111001…
…010111100101110100
310012101111110120202110
4133022321113211310
51022021003320130
623213024411020
72263250112240
oct371271274564
9105344416673
1033468807540
11132152a6523
1265a0776a70
133204c2ca3c
141897007420
15d0d423ab0
hex7cae57974

33468807540 has 96 divisors (see below), whose sum is σ = 107487201024. Its totient is φ = 7622369280.

The previous prime is 33468807527. The next prime is 33468807563. The reversal of 33468807540 is 4570886433.

It is a super-2 number, since 2×334688075402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33468807540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27501 + ... + 260180.

It is an arithmetic number, because the mean of its divisors is an integer number (1119658344).

Almost surely, 233468807540 is an apocalyptic number.

33468807540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33468807540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53743600512).

33468807540 is an abundant number, since it is smaller than the sum of its proper divisors (74018393484).

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

33468807540 is a wasteful number, since it uses less digits than its factorization.

33468807540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287977 (or 287975 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 33468807540 in words is "thirty-three billion, four hundred sixty-eight million, eight hundred seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 277 420 554 831 1108 1385 1662 1939 2770 3324 3878 4155 5540 5817 7756 8310 9695 11634 16620 19390 23268 29085 38780 58170 116340 287681 575362 863043 1150724 1438405 1726086 2013767 2876810 3452172 4027534 4315215 5753620 6041301 8055068 8630430 10068835 12082602 17260860 20137670 24165204 30206505 40275340 60413010 79687637 120826020 159375274 239062911 318750548 398438185 478125822 557813459 796876370 956251644 1115626918 1195314555 1593752740 1673440377 2231253836 2390629110 2789067295 3346880754 4781258220 5578134590 6693761508 8367201885 11156269180 16734403770 33468807540