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11873703864 = 2331124395087
BaseRepresentation
bin10110000111011101…
…00101011110111000
31010122111110122121210
423003232211132320
5143304132010424
65242114403120
7600145550301
oct130356453670
933574418553
1011873703864
11504343a500
1223745904a0
131172c44b99
14808d437a8
15497624729
hex2c3ba57b8

11873703864 has 96 divisors (see below), whose sum is σ = 33387298560. Its totient is φ = 3514378560.

The previous prime is 11873703857. The next prime is 11873703893. The reversal of 11873703864 is 46830737811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77329 + ... + 172415.

It is an arithmetic number, because the mean of its divisors is an integer number (347784360).

Almost surely, 211873703864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11873703864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16693649280).

11873703864 is an abundant number, since it is smaller than the sum of its proper divisors (21513594696).

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

11873703864 is a wasteful number, since it uses less digits than its factorization.

11873703864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95161 (or 95146 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 11873703864 in words is "eleven billion, eight hundred seventy-three million, seven hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 121 129 132 172 242 258 264 344 363 473 484 516 726 946 968 1032 1419 1452 1892 2838 2904 3784 5203 5676 10406 11352 15609 20812 31218 41624 62436 95087 124872 190174 285261 380348 570522 760696 1045957 1141044 2091914 2282088 3137871 4088741 4183828 6275742 8177482 8367656 11505527 12266223 12551484 16354964 23011054 24532446 25102968 32709928 34516581 44976151 46022108 49064892 69033162 89952302 92044216 98129784 134928453 138066324 179904604 269856906 276132648 359809208 494737661 539713812 989475322 1079427624 1484212983 1978950644 2968425966 3957901288 5936851932 11873703864