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816057556080 = 243513311841019
BaseRepresentation
bin10111110000000001101…
…00100001110001110000
32220000101110021002212220
423320000310201301300
5101332241213243310
61422520333321040
7112646444530224
oct13700064416160
92800343232786
10816057556080
112950a72412a8
121121a8036180
135bc52935350
142b6d6bda784
1516362da6670
hexbe00d21c70

816057556080 has 160 divisors (see below), whose sum is σ = 2733140067840. Its totient is φ = 200229565440.

The previous prime is 816057556037. The next prime is 816057556081. The reversal of 816057556080 is 80655750618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816057556081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549811 + ... + 1390829.

It is an arithmetic number, because the mean of its divisors is an integer number (17082125424).

Almost surely, 2816057556080 is an apocalyptic number.

816057556080 is a gapful number since it is divisible by the number (80) 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 816057556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366570033920).

816057556080 is an abundant number, since it is smaller than the sum of its proper divisors (1917082511760).

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

816057556080 is a wasteful number, since it uses less digits than its factorization.

816057556080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841359 (or 841353 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 816057556080 in words is "eight hundred sixteen billion, fifty-seven million, five hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 311 312 390 520 622 624 780 933 1040 1244 1555 1560 1866 2488 3110 3120 3732 4043 4665 4976 6220 7464 8086 9330 12129 12440 14928 16172 18660 20215 24258 24880 32344 37320 40430 48516 60645 64688 74640 80860 97032 121290 161720 194064 242580 323440 485160 841019 970320 1682038 2523057 3364076 4205095 5046114 6728152 8410190 10092228 10933247 12615285 13456304 16820380 20184456 21866494 25230570 32799741 33640760 40368912 43732988 50461140 54666235 65599482 67281520 87465976 100922280 109332470 131198964 163998705 174931952 201844560 218664940 261556909 262397928 327997410 437329880 523113818 524795856 655994820 784670727 874659760 1046227636 1307784545 1311989640 1569341454 2092455272 2615569090 2623979280 3138682908 3400239817 3923353635 4184910544 5231138180 6277365816 6800479634 7846707270 10200719451 10462276360 12554731632 13600959268 15693414540 17001199085 20401438902 20924552720 27201918536 31386829080 34002398170 40802877804 51003597255 54403837072 62773658160 68004796340 81605755608 102007194510 136009592680 163211511216 204014389020 272019185360 408028778040 816057556080