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133600544104040 = 235133493672005919
BaseRepresentation
bin11110011000001001001100…
…111110010001111001101000
3122112001002100121221222010122
4132120021030332101321220
5120002402403242312130
61152051124225502412
740066215012500666
oct3630111476217150
9575032317858118
10133600544104040
1139629744207962
1212b9881baa1a08
13597162869a230
1424dc42d6d1c36
15106a3cb7d62e5
hex79824cf91e68

133600544104040 has 128 divisors (see below), whose sum is σ = 325536744960000. Its totient is φ = 49054034654208.

The previous prime is 133600544103991. The next prime is 133600544104063. The reversal of 133600544104040 is 40401445006331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65600201 + ... + 67606119.

It is an arithmetic number, because the mean of its divisors is an integer number (2543255820000).

Almost surely, 2133600544104040 is an apocalyptic number.

133600544104040 is a gapful number since it is divisible by the number (10) 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 133600544104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162768372480000).

133600544104040 is an abundant number, since it is smaller than the sum of its proper divisors (191936200855960).

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

133600544104040 is a wasteful number, since it uses less digits than its factorization.

133600544104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006659 (or 2006655 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 133600544104040 in words is "one hundred thirty-three trillion, six hundred billion, five hundred forty-four million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 349 367 520 698 734 1396 1468 1745 1835 2792 2936 3490 3670 4537 4771 6980 7340 9074 9542 13960 14680 18148 19084 22685 23855 36296 38168 45370 47710 90740 95420 128083 181480 190840 256166 512332 640415 1024664 1280830 1665079 2005919 2561660 3330158 4011838 5123320 6660316 8023676 8325395 10029595 13320632 16047352 16650790 20059190 26076947 33301580 40118380 52153894 66603160 80236760 104307788 130384735 208615576 260769470 521538940 700065731 736172273 1043077880 1400131462 1472344546 2800262924 2944689092 3500328655 3680861365 5600525848 5889378184 7000657310 7361722730 9100854503 9570239549 14001314620 14723445460 18201709006 19140479098 28002629240 29446890920 36403418012 38280958196 45504272515 47851197745 72806836024 76561916392 91008545030 95702395490 182017090060 191404790980 256924123277 364034180120 382809581960 513848246554 1027696493108 1284620616385 2055392986216 2569241232770 3340013602601 5138482465540 6680027205202 10276964931080 13360054410404 16700068013005 26720108820808 33400136026010 66800272052020 133600544104040