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2014061868 = 2233713204931
BaseRepresentation
bin111100000001100…
…0010010100101100
312012100210221111000
41320003002110230
513111044434433
6531504200300
7100624146330
oct17003022454
95170727430
102014061868
11943981545
12482609090
1326135b9b0
141516b97c0
15bbc3e113
hex780c252c

2014061868 has 96 divisors (see below), whose sum is σ = 6426667520. Its totient is φ = 531178560.

The previous prime is 2014061867. The next prime is 2014061879. The reversal of 2014061868 is 8681604102.

2014061868 is a `hidden beast` number, since 20 + 14 + 0 + 618 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2014061867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92638 + ... + 112293.

Almost surely, 22014061868 is an apocalyptic number.

2014061868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2014061868 is an abundant number, since it is smaller than the sum of its proper divisors (4412605652).

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

2014061868 is a wasteful number, since it uses less digits than its factorization.

2014061868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204964 (or 204956 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2014061868 is about 44878.3006362763. The cubic root of 2014061868 is about 1262.8669637182.

The spelling of 2014061868 in words is "two billion, fourteen million, sixty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 204931 409862 614793 819724 1229586 1434517 1844379 2459172 2664103 2869034 3688758 4303551 5328206 5533137 5738068 7377516 7992309 8607102 10656412 11066274 12910653 15984618 17214204 18648721 22132548 23976927 25821306 31969236 37297442 38731959 47953854 51642612 55946163 71930781 74594884 77463918 95907708 111892326 143861562 154927836 167838489 223784652 287723124 335676978 503515467 671353956 1007030934 2014061868