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129182153840 = 2454140079829
BaseRepresentation
bin111100001001111011…
…0110011110001110000
3110100102221000100121022
41320103312303301300
54104031112410330
6135202341515012
712222153122135
oct1702366636160
9410387010538
10129182153840
114a870a5a213
1221052a12a68
13c2496139ac
146376a1658c
153561163ae5
hex1e13db3c70

129182153840 has 80 divisors (see below), whose sum is σ = 307782175680. Its totient is φ = 50394839040.

The previous prime is 129182153833. The next prime is 129182153873. The reversal of 129182153840 is 48351281921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 129182153791 and 129182153800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13138046 + ... + 13147874.

It is an arithmetic number, because the mean of its divisors is an integer number (3847277196).

Almost surely, 2129182153840 is an apocalyptic number.

129182153840 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 129182153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153891087840).

129182153840 is an abundant number, since it is smaller than the sum of its proper divisors (178600021840).

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

129182153840 is a wasteful number, since it uses less digits than its factorization.

129182153840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 129182153840 in words is "one hundred twenty-nine billion, one hundred eighty-two million, one hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 4007 8014 9829 16028 19658 20035 32056 39316 40070 49145 64112 78632 80140 98290 157264 160280 164287 196580 320560 328574 393160 402989 657148 786320 805978 821435 1314296 1611956 1642870 2014945 2628592 3223912 3285740 4029890 6447824 6571480 8059780 13142960 16119560 32239120 39384803 78769606 157539212 196924015 315078424 393848030 630156848 787696060 1575392120 1614776923 3150784240 3229553846 6459107692 8073884615 12918215384 16147769230 25836430768 32295538460 64591076920 129182153840