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18940387648 = 2671331110457
BaseRepresentation
bin10001101000111011…
…110110000101000000
31210212222200101100211
4101220323312011000
5302242214401043
612411234123504
71240234432030
oct215073660500
953788611324
1018940387648
11803a39a636
123807120594
131a2acc8090
14cb969b8c0
1575cc11a9d
hex468ef6140

18940387648 has 112 divisors (see below), whose sum is σ = 46411432704. Its totient is φ = 7468093440.

The previous prime is 18940387619. The next prime is 18940387721. The reversal of 18940387648 is 84678304981.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 18940387592 and 18940387601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806036 + ... + 1816492.

It is an arithmetic number, because the mean of its divisors is an integer number (414387792).

Almost surely, 218940387648 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 18940387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23205716352).

18940387648 is an abundant number, since it is smaller than the sum of its proper divisors (27471045056).

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

18940387648 is a wasteful number, since it uses less digits than its factorization.

18940387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 18940387648 in words is "eighteen billion, nine hundred forty million, three hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 311 364 416 448 622 728 832 1244 1456 2177 2488 2912 4043 4354 4976 5824 8086 8708 9952 10457 16172 17416 19904 20914 28301 32344 34832 41828 56602 64688 69664 73199 83656 113204 129376 135941 139328 146398 167312 226408 258752 271882 292796 334624 452816 543764 585592 669248 905632 951587 1087528 1171184 1811264 1903174 2175056 2342368 3252127 3806348 4350112 4684736 6504254 7612696 8700224 13008508 15225392 22764889 26017016 30450784 42277651 45529778 52034032 60901568 84555302 91059556 104068064 169110604 182119112 208136128 295943557 338221208 364238224 591887114 676442416 728476448 1183774228 1352884832 1456952896 2367548456 2705769664 4735096912 9470193824 18940387648