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13950564608 = 28294793923
BaseRepresentation
bin11001111111000010…
…01011100100000000
31100000020110002222002
430333201023210000
5212032321031413
610224145003132
71002464562011
oct147741134400
940006402862
1013950564608
115a09803742
1228540234a8
1314142c0776
14964ac9008
15569b1a958
hex33f84b900

13950564608 has 72 divisors (see below), whose sum is σ = 28874361600. Its totient is φ = 6718982144.

The previous prime is 13950564571. The next prime is 13950564611. The reversal of 13950564608 is 80646505931.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3554135 + ... + 3558057.

It is an arithmetic number, because the mean of its divisors is an integer number (401032800).

Almost surely, 213950564608 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 13950564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437180800).

13950564608 is an abundant number, since it is smaller than the sum of its proper divisors (14923796992).

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

13950564608 is an equidigital number, since it uses as much as digits as its factorization.

13950564608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 13950564608 in words is "thirteen billion, nine hundred fifty million, five hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 479 928 958 1856 1916 3712 3832 3923 7424 7664 7846 13891 15328 15692 27782 30656 31384 55564 61312 62768 111128 113767 122624 125536 222256 227534 251072 444512 455068 502144 889024 910136 1004288 1778048 1820272 1879117 3556096 3640544 3758234 7281088 7516468 14562176 15032936 29124352 30065872 54494393 60131744 108988786 120263488 217977572 240526976 435955144 481053952 871910288 1743820576 3487641152 6975282304 13950564608