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14797059012 = 22321744953849
BaseRepresentation
bin11011100011111100…
…10011001111000100
31102012020021110222200
431301332103033010
5220301021342022
610444144154500
71032453632511
oct156176231704
942166243880
1014797059012
11630361049a
122a4b608a30
13151a7a2228
14a052b8308
155b90c8bac
hex371f933c4

14797059012 has 72 divisors (see below), whose sum is σ = 39692835000. Its totient is φ = 4631789568.

The previous prime is 14797058999. The next prime is 14797059061. The reversal of 14797059012 is 21095079741.

14797059012 is a `hidden beast` number, since 1 + 47 + 9 + 7 + 0 + 590 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10035230976 + 4761828036 = 100176^2 + 69006^2 .

It is a super-2 number, since 2×147970590122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247864 + ... + 301712.

It is an arithmetic number, because the mean of its divisors is an integer number (551289375).

Almost surely, 214797059012 is an apocalyptic number.

14797059012 is a gapful number since it is divisible by the number (12) 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 14797059012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846417500).

14797059012 is an abundant number, since it is smaller than the sum of its proper divisors (24895775988).

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

14797059012 is a wasteful number, since it uses less digits than its factorization.

14797059012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54325 (or 54320 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 14797059012 in words is "fourteen billion, seven hundred ninety-seven million, fifty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 449 612 898 1347 1796 2694 4041 5388 7633 8082 15266 16164 22899 30532 45798 53849 68697 91596 107698 137394 161547 215396 274788 323094 484641 646188 915433 969282 1830866 1938564 2746299 3661732 5492598 8238897 10985196 16477794 24178201 32955588 48356402 72534603 96712804 145069206 217603809 290138412 411029417 435207618 822058834 870415236 1233088251 1644117668 2466176502 3699264753 4932353004 7398529506 14797059012