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123876420864 = 2837160914321
BaseRepresentation
bin111001101011110011…
…1000010110100000000
3102211202011100012020120
41303113213002310000
54012144330431424
6132524045340240
711643526126650
oct1632747026400
9384664305216
10123876420864
1148599012529
1220011b67680
13b8b232aa21
145dd20cc360
153350469a79
hex1cd79c2d00

123876420864 has 144 divisors (see below), whose sum is σ = 377051283840. Its totient is φ = 35368796160.

The previous prime is 123876420853. The next prime is 123876420883. The reversal of 123876420864 is 468024678321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8642824 + ... + 8657144.

Almost surely, 2123876420864 is an apocalyptic number.

123876420864 is a gapful number since it is divisible by the number (14) 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 123876420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188525641920).

123876420864 is an abundant number, since it is smaller than the sum of its proper divisors (253174862976).

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

123876420864 is a wasteful number, since it uses less digits than its factorization.

123876420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956 (or 15942 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 123876420864 in words is "one hundred twenty-three billion, eight hundred seventy-six million, four hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1609 1792 2688 3218 4827 5376 6436 9654 11263 12872 14321 19308 22526 25744 28642 33789 38616 42963 45052 51488 57284 67578 77232 85926 90104 100247 102976 114568 135156 154464 171852 180208 200494 205952 229136 270312 300741 308928 343704 360416 400988 411904 458272 540624 601482 617856 687408 720832 801976 916544 1081248 1202964 1235712 1374816 1441664 1603952 1833088 2162496 2405928 2749632 2883328 3207904 3666176 4324992 4811856 5499264 6415808 8649984 9623712 10998528 12831616 19247424 23042489 25663232 38494848 46084978 69127467 76989696 92169956 138254934 161297423 184339912 276509868 322594846 368679824 483892269 553019736 645189692 737359648 967784538 1106039472 1290379384 1474719296 1935569076 2212078944 2580758768 2949438592 3871138152 4424157888 5161517536 5898877184 7742276304 8848315776 10323035072 15484552608 17696631552 20646070144 30969105216 41292140288 61938210432 123876420864