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14895426384 = 2432176319643
BaseRepresentation
bin11011101111101011…
…00010101101010000
31102110002101001122200
431313311202231100
5221001212121014
610502020403200
71035060015036
oct156765425520
942402331580
1014895426384
116354097343
122a78546500
131534c93887
14a143a2556
155c2a59a09
hex377d62b50

14895426384 has 120 divisors (see below), whose sum is σ = 44213188032. Its totient is φ = 4665185280.

The previous prime is 14895426361. The next prime is 14895426407. The reversal of 14895426384 is 48362459841.

14895426384 is a `hidden beast` number, since 14 + 8 + 9 + 542 + 6 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (14895426361) and next prime (14895426407).

It is a super-2 number, since 2×148954263842 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14895426384.

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, 1539867 + ... + 1549509.

Almost surely, 214895426384 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 14895426384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106594016).

14895426384 is an abundant number, since it is smaller than the sum of its proper divisors (29317761648).

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

14895426384 is a wasteful number, since it uses less digits than its factorization.

14895426384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10296 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 14895426384 in words is "fourteen billion, eight hundred ninety-five million, four hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 631 816 1224 1262 1893 2448 2524 3786 5048 5679 7572 9643 10096 10727 11358 15144 19286 21454 22716 28929 30288 32181 38572 42908 45432 57858 64362 77144 85816 86787 90864 96543 115716 128724 154288 163931 171632 173574 193086 231432 257448 327862 347148 386172 462864 491793 514896 655724 694296 772344 983586 1311448 1388592 1475379 1544688 1967172 2622896 2950758 3934344 5901516 6084733 7868688 11803032 12169466 18254199 23606064 24338932 36508398 48677864 54762597 73016796 97355728 103440461 109525194 146033592 206880922 219050388 292067184 310321383 413761844 438100776 620642766 827523688 876201552 930964149 1241285532 1655047376 1861928298 2482571064 3723856596 4965142128 7447713192 14895426384