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6914418912 = 253247510817
BaseRepresentation
bin1100111000010000…
…11010100011100000
3122211212200212121100
412130020122203200
5103130042401122
63102035554400
7333226406502
oct63410324340
918755625540
106914418912
112a290112a5
12140b75ba00
1386267044b
1449843dd72
152a7061aac
hex19c21a8e0

6914418912 has 72 divisors (see below), whose sum is σ = 20081277216. Its totient is φ = 2255763456.

The previous prime is 6914418911. The next prime is 6914418941. The reversal of 6914418912 is 2198144196.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6914418911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241873 + ... + 268944.

It is an arithmetic number, because the mean of its divisors is an integer number (278906628).

Almost surely, 26914418912 is an apocalyptic number.

It is an amenable number.

6914418912 is an abundant number, since it is smaller than the sum of its proper divisors (13166858304).

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

6914418912 is a wasteful number, since it uses less digits than its factorization.

6914418912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510880 (or 510869 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 6914418912 is about 83152.9849855073. The cubic root of 6914418912 is about 1905.1034461361.

The spelling of 6914418912 in words is "six billion, nine hundred fourteen million, four hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 510817 1021634 1532451 2043268 3064902 4086536 4597353 6129804 8173072 9194706 12259608 16346144 18389412 24008399 24519216 36778824 48016798 49038432 72025197 73557648 96033596 144050394 147115296 192067192 216075591 288100788 384134384 432151182 576201576 768268768 864302364 1152403152 1728604728 2304806304 3457209456 6914418912