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12400050023505 = 32517292521221713
BaseRepresentation
bin1011010001110001110010…
…0100111010110001010001
31121220102200210202221010200
42310130130210322301101
53111130300301223010
642212300534245413
72416605541056444
oct264343444726121
947812623687120
1012400050023505
113a50916a73641
1214832677b6869
136bc4204c3c21
1430c24668365b
15167848deacc0
hexb471c93ac51

12400050023505 has 96 divisors (see below), whose sum is σ = 23551933260960. Its totient is φ = 6007295508480.

The previous prime is 12400050023483. The next prime is 12400050023513. The reversal of 12400050023505 is 50532005000421.

It is a happy number.

12400050023505 is a `hidden beast` number, since 124 + 0 + 0 + 0 + 500 + 2 + 35 + 0 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4062272498064 + 8337777525441 = 2015508^2 + 2887521^2 .

It is not a de Polignac number, because 12400050023505 - 27 = 12400050023377 is a prime.

It is a super-2 number, since 2×124000500235052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55817529 + ... + 56039241.

It is an arithmetic number, because the mean of its divisors is an integer number (245332638135).

Almost surely, 212400050023505 is an apocalyptic number.

12400050023505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12400050023505 is a deficient number, since it is larger than the sum of its proper divisors (11151883237455).

12400050023505 is a wasteful number, since it uses less digits than its factorization.

12400050023505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224291 (or 224288 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 12400050023505 its reverse (50532005000421), we get a palindrome (62932055023926).

The spelling of 12400050023505 in words is "twelve trillion, four hundred billion, fifty million, twenty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 1305 1479 2465 2521 4437 7395 7563 12605 22185 22689 37815 42857 73109 113445 128571 214285 219327 221713 365545 385713 642855 657981 665139 1096635 1108565 1242853 1928565 1995417 3289905 3325695 3728559 3769121 6214265 6429677 9977085 11185677 11307363 18642795 18845605 19289031 32148385 33922089 55928385 56536815 57867093 96445155 109304509 169610445 289335465 327913527 546522545 558938473 983740581 1639567635 1676815419 2794692365 4918702905 5030446257 8384077095 9501954041 16209215717 25152231285 28505862123 47509770205 48627647151 81046078585 85517586369 142529310615 145882941453 243138235755 275556667189 427587931845 729414707265 826670001567 1377783335945 2480010004701 4133350007835 12400050023505