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14920434648 = 2332746164217
BaseRepresentation
bin11011110010101001…
…11100001111011000
31102111211102121112200
431321110330033120
5221024112402043
610504312410200
71035512413320
oct157124741730
942454377480
1014920434648
116367218429
122a849a6960
13153a20b772
14a17832280
155c4d497d3
hex37953c3d8

14920434648 has 96 divisors (see below), whose sum is σ = 46283196960. Its totient is φ = 4253667840.

The previous prime is 14920434631. The next prime is 14920434671. The reversal of 14920434648 is 84643402941.

14920434648 is a `hidden beast` number, since 149 + 2 + 0 + 43 + 464 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200236 + ... + 264452.

It is an arithmetic number, because the mean of its divisors is an integer number (482116635).

Almost surely, 214920434648 is an apocalyptic number.

14920434648 is a gapful number since it is divisible by the number (18) 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 14920434648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141598480).

14920434648 is an abundant number, since it is smaller than the sum of its proper divisors (31362762312).

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

14920434648 is a wasteful number, since it uses less digits than its factorization.

14920434648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64697 (or 64690 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 14920434648 in words is "fourteen billion, nine hundred twenty million, four hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 461 504 922 1383 1844 2766 3227 3688 4149 5532 6454 8298 9681 11064 12908 16596 19362 25816 29043 33192 38724 58086 64217 77448 116172 128434 192651 232344 256868 385302 449519 513736 577953 770604 899038 1155906 1348557 1541208 1798076 2311812 2697114 3596152 4045671 4623624 5394228 8091342 10788456 16182684 29604037 32365368 59208074 88812111 118416148 177624222 207228259 236832296 266436333 355248444 414456518 532872666 621684777 710496888 828913036 1065745332 1243369554 1657826072 1865054331 2131490664 2486739108 3730108662 4973478216 7460217324 14920434648