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18618545680 = 245724749629
BaseRepresentation
bin10001010101110000…
…000111011000010000
31210001120002010011221
4101111300013120100
5301112321430210
612315300014424
71226246012200
oct212560073020
953046063157
1018618545680
117994757a39
123737391414
1319a9420647
14c88a40400
1573e83b1da
hex455c07610

18618545680 has 60 divisors (see below), whose sum is σ = 50355577260. Its totient is φ = 6383500032.

The previous prime is 18618545651. The next prime is 18618545681. The reversal of 18618545680 is 8654581681.

It can be written as a sum of positive squares in 2 ways, for example, as 2551462144 + 16067083536 = 50512^2 + 126756^2 .

It is not an unprimeable number, because it can be changed into a prime (18618545681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370895 + ... + 2378734.

It is an arithmetic number, because the mean of its divisors is an integer number (839259621).

Almost surely, 218618545680 is an apocalyptic number.

18618545680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18618545680 is an abundant number, since it is smaller than the sum of its proper divisors (31737031580).

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

18618545680 is a wasteful number, since it uses less digits than its factorization.

18618545680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749656 (or 4749643 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 52.

It can be divided in two parts, 18618545 and 680, that added together give a square (18619225 = 43152).

The spelling of 18618545680 in words is "eighteen billion, six hundred eighteen million, five hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 4749629 9499258 18998516 23748145 33247403 37997032 47496290 66494806 75994064 94992580 132989612 166237015 189985160 232731821 265979224 332474030 379970320 465463642 531958448 664948060 930927284 1163659105 1329896120 1861854568 2327318210 2659792240 3723709136 4654636420 9309272840 18618545680