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14949856206 = 235311377243
BaseRepresentation
bin11011110110001010…
…01011001111001110
31102120212210101100000
431323011023033032
5221104130344311
610511243145130
71036320452415
oct157305131716
942525711300
1014949856206
11638189326a
122a928151a6
13154334037c
14a1b6d047c
155c770c056
hex37b14b3ce

14949856206 has 96 divisors (see below), whose sum is σ = 34932538368. Its totient is φ = 4786672320.

The previous prime is 14949856193. The next prime is 14949856267. The reversal of 14949856206 is 60265894941.

14949856206 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 9 + 8 + 5 + 620 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060421 + ... + 2067663.

It is an arithmetic number, because the mean of its divisors is an integer number (363880608).

Almost surely, 214949856206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14949856206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466269184).

14949856206 is an abundant number, since it is smaller than the sum of its proper divisors (19982682162).

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

14949856206 is a wasteful number, since it uses less digits than its factorization.

14949856206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 14949856206 in words is "fourteen billion, nine hundred forty-nine million, eight hundred fifty-six thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 137 162 186 243 274 279 411 486 558 822 837 1233 1674 2466 2511 3699 4247 5022 7243 7398 7533 8494 11097 12741 14486 15066 21729 22194 25482 33291 38223 43458 65187 66582 76446 114669 130374 195561 224533 229338 344007 391122 449066 586683 673599 688014 992291 1032021 1173366 1347198 1760049 1984582 2020797 2064042 2976873 3520098 4041594 5953746 6062391 8930619 12124782 17861238 18187173 26791857 30761021 36374346 53583714 54561519 61522042 80375571 92283063 109123038 160751142 184566126 241126713 276849189 482253426 553698378 830547567 1661095134 2491642701 4983285402 7474928103 14949856206