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14027858656 = 257296135401
BaseRepresentation
bin11010001000010000…
…00010001011100000
31100012121220001110121
431010020002023200
5212212112434111
610235545410024
71004423555050
oct150410021340
940177801417
1014027858656
115a493a6919
122875a99914
1314273142a6
14971089560
155717d7871
hex3442022e0

14027858656 has 96 divisors (see below), whose sum is σ = 33187250880. Its totient is φ = 5709312000.

The previous prime is 14027858651. The next prime is 14027858657. The reversal of 14027858656 is 65685872041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14027858651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378556 + ... + 413956.

It is an arithmetic number, because the mean of its divisors is an integer number (345700530).

Almost surely, 214027858656 is an apocalyptic number.

14027858656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14027858656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593625440).

14027858656 is an abundant number, since it is smaller than the sum of its proper divisors (19159392224).

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

14027858656 is a wasteful number, since it uses less digits than its factorization.

14027858656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35508 (or 35500 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 14027858656 in words is "fourteen billion, twenty-seven million, eight hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 61 112 116 122 203 224 232 244 406 427 464 488 812 854 928 976 1624 1708 1769 1952 3248 3416 3538 6496 6832 7076 12383 13664 14152 24766 28304 35401 49532 56608 70802 99064 141604 198128 247807 283208 396256 495614 566416 991228 1026629 1132832 1982456 2053258 2159461 3964912 4106516 4318922 7186403 7929824 8213032 8637844 14372806 15116227 16426064 17275688 28745612 30232454 32852128 34551376 57491224 60464908 62624369 69102752 114982448 120929816 125248738 229964896 241859632 250497476 438370583 483719264 500994952 876741166 1001989904 1753482332 2003979808 3506964664 7013929328 14027858656