Search a number
-
+
18680078160 = 2432531183423
BaseRepresentation
bin10001011001011010…
…110101111101010000
31210012211212021212200
4101121122311331100
5301224100000120
612325334523200
71230624021162
oct213132657520
953184767780
1018680078160
117a16465227
123753b06500
1319b90b5cb3
14c92c9a932
15744e42e90
hex4596b5f50

18680078160 has 120 divisors (see below), whose sum is σ = 62936400384. Its totient is φ = 4965277440.

The previous prime is 18680078147. The next prime is 18680078167. The reversal of 18680078160 is 6187008681.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18680078167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182209 + ... + 265631.

Almost surely, 218680078160 is an apocalyptic number.

18680078160 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 18680078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31468200192).

18680078160 is an abundant number, since it is smaller than the sum of its proper divisors (44256322224).

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

18680078160 is a wasteful number, since it uses less digits than its factorization.

18680078160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83753 (or 83744 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 18680078160 in words is "eighteen billion, six hundred eighty million, seventy-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 311 360 622 720 933 1244 1555 1866 2488 2799 3110 3732 4665 4976 5598 6220 7464 9330 11196 12440 13995 14928 18660 22392 24880 27990 37320 44784 55980 74640 83423 111960 166846 223920 250269 333692 417115 500538 667384 750807 834230 1001076 1251345 1334768 1501614 1668460 2002152 2502690 3003228 3336920 3754035 4004304 5005380 6006456 6673840 7508070 10010760 12012912 15016140 20021520 25944553 30032280 51889106 60064560 77833659 103778212 129722765 155667318 207556424 233500977 259445530 311334636 389168295 415112848 467001954 518891060 622669272 778336590 934003908 1037782120 1167504885 1245338544 1556673180 1868007816 2075564240 2335009770 3113346360 3736015632 4670019540 6226692720 9340039080 18680078160