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18362418064 = 2419217832
BaseRepresentation
bin10001000110011111…
…000100001110010000
31202101201010111010221
4101012133010032100
5300101234334224
612234030202424
71220015656354
oct210637041620
952351114127
1018362418064
117873119521
123685653414
131968343b43
14c62a0b464
157270e66e4
hex4467c4390

18362418064 has 45 divisors (see below), whose sum is σ = 37569291003. Its totient is φ = 8693109216.

The previous prime is 18362418049. The next prime is 18362418073. The reversal of 18362418064 is 46081426381.

The square root of 18362418064 is 135508.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×183624180642 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18362418064.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10297717 + ... + 10299499.

Almost surely, 218362418064 is an apocalyptic number.

18362418064 is the 135508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18362418064

18362418064 is an abundant number, since it is smaller than the sum of its proper divisors (19206872939).

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

18362418064 is an frugal number, since it uses more digits than its factorization.

18362418064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 18362418064 in words is "eighteen billion, three hundred sixty-two million, four hundred eighteen thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 1783 2888 3566 5776 7132 14264 28528 33877 67754 135508 271016 542032 643663 1287326 2574652 3179089 5149304 6358178 10298608 12716356 25432712 50865424 60402691 120805382 241610764 483221528 966443056 1147651129 2295302258 4590604516 9181209032 18362418064