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18863520816 = 24371094911049
BaseRepresentation
bin10001100100010110…
…100111110000110000
31210200122001010220010
4101210112213300300
5302113030131231
612355450414520
71235312165340
oct214426476060
953618033803
1018863520816
117aaaa69428
1237a5431440
131a180c3b4a
14cad3acd20
157560cb546
hex4645a7c30

18863520816 has 160 divisors (see below), whose sum is σ = 56371392000. Its totient is φ = 5324175360.

The previous prime is 18863520803. The next prime is 18863520827. The reversal of 18863520816 is 61802536881.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17981860 + ... + 17982908.

It is an arithmetic number, because the mean of its divisors is an integer number (352321200).

Almost surely, 218863520816 is an apocalyptic number.

18863520816 is a gapful number since it is divisible by the number (16) 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 18863520816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185696000).

18863520816 is an abundant number, since it is smaller than the sum of its proper divisors (37507871184).

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

18863520816 is a wasteful number, since it uses less digits than its factorization.

18863520816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 18863520816 in words is "eighteen billion, eight hundred sixty-three million, five hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 491 654 763 872 982 1049 1308 1473 1526 1744 1964 2098 2289 2616 2946 3052 3147 3437 3928 4196 4578 5232 5892 6104 6294 6874 7343 7856 8392 9156 10311 11784 12208 12588 13748 14686 16784 18312 20622 22029 23568 25176 27496 29372 36624 41244 44058 50352 53519 54992 58744 82488 88116 107038 114341 117488 160557 164976 176232 214076 228682 321114 343023 352464 374633 428152 457364 515059 642228 686046 749266 800387 856304 914728 1030118 1123899 1284456 1372092 1498532 1545177 1600774 1829456 2060236 2247798 2401161 2568912 2744184 2997064 3090354 3201548 3605413 4120472 4495596 4802322 5488368 5994128 6180708 6403096 7210826 8240944 8991192 9604644 10816239 12361416 12806192 14421652 17982384 19209288 21632478 24722832 28843304 38418576 43264956 56141431 57686608 86529912 112282862 168424293 173059824 224565724 336848586 392990017 449131448 673697172 785980034 898262896 1178970051 1347394344 1571960068 2357940102 2694788688 3143920136 4715880204 6287840272 9431760408 18863520816