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18860948640 = 2532523815501
BaseRepresentation
bin10001100100001100…
…110011110010100000
31210200110012110112100
4101210030303302200
5302111400324030
612355315330400
71235251263312
oct214414636240
953613173470
1018860948640
117aa9571966
1237a45b0a00
131a17703151
14caccdd7b2
15755c6e360
hex464333ca0

18860948640 has 144 divisors (see below), whose sum is σ = 64401724296. Its totient is φ = 5026560000.

The previous prime is 18860948597. The next prime is 18860948657. The reversal of 18860948640 is 4684906881.

It can be written as a sum of positive squares in 4 ways, for example, as 14259225744 + 4601722896 = 119412^2 + 67836^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3425890 + ... + 3431390.

Almost surely, 218860948640 is an apocalyptic number.

18860948640 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 18860948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32200862148).

18860948640 is an abundant number, since it is smaller than the sum of its proper divisors (45540775656).

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

18860948640 is a wasteful number, since it uses less digits than its factorization.

18860948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 18860948640 in words is "eighteen billion, eight hundred sixty million, nine hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2381 4762 5501 7143 9524 11002 11905 14286 16503 19048 21429 22004 23810 27505 28572 33006 35715 38096 42858 44008 47620 49509 55010 57144 66012 71430 76192 82515 85716 88016 95240 99018 107145 110020 114288 132024 142860 165030 171432 176032 190480 198036 214290 220040 228576 247545 264048 285720 330060 342864 380960 396072 428580 440080 495090 528096 571440 660120 685728 792144 857160 880160 990180 1142880 1320240 1584288 1714320 1980360 2640480 3428640 3960720 7921440 13097881 26195762 39293643 52391524 65489405 78587286 104783048 117880929 130978810 157174572 196468215 209566096 235761858 261957620 314349144 392936430 419132192 471523716 523915240 589404645 628698288 785872860 943047432 1047830480 1178809290 1257396576 1571745720 1886094864 2095660960 2357618580 3143491440 3772189728 4715237160 6286982880 9430474320 18860948640