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43968191436 = 2232133113921803
BaseRepresentation
bin101000111100101101…
…010101101111001100
311012111012220112210200
4220330231111233030
51210021324111221
632110530533500
73114400314021
oct507455255714
9135435815720
1043968191436
1117712996aa4
128630a37290
1341b9217a30
1421b1601548
151225077426
hexa3cb55bcc

43968191436 has 144 divisors (see below), whose sum is σ = 124446766080. Its totient is φ = 12997480320.

The previous prime is 43968191429. The next prime is 43968191437. The reversal of 43968191436 is 63419186934.

43968191436 is a `hidden beast` number, since 43 + 9 + 6 + 81 + 91 + 436 = 666.

It is not an unprimeable number, because it can be changed into a prime (43968191437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005711 + ... + 2027513.

Almost surely, 243968191436 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 43968191436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62223383040).

43968191436 is an abundant number, since it is smaller than the sum of its proper divisors (80478574644).

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

43968191436 is a wasteful number, since it uses less digits than its factorization.

43968191436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21996 (or 21991 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 43968191436 in words is "forty-three billion, nine hundred sixty-eight million, one hundred ninety-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 139 156 186 234 278 279 372 403 417 468 556 558 806 834 1116 1209 1251 1612 1668 1807 2418 2502 3614 3627 4309 4836 5004 5421 7228 7254 8618 10842 12927 14508 16263 17236 21684 21803 25854 32526 38781 43606 51708 56017 65052 65409 77562 87212 112034 130818 155124 168051 196227 224068 261636 283439 336102 392454 504153 566878 672204 675893 784908 850317 1008306 1133756 1351786 1700634 2016612 2027679 2550951 2703572 3030617 3401268 4055358 5101902 6061234 6083037 8110716 8786609 9091851 10203804 12122468 12166074 17573218 18183702 24332148 26359827 27275553 35146436 36367404 39398021 52719654 54551106 78796042 79079481 93949127 105439308 109102212 118194063 157592084 158158962 187898254 236388126 281847381 316317924 354582189 375796508 472776252 563694762 709164378 845542143 1127389524 1221338651 1418328756 1691084286 2442677302 3382168572 3664015953 4885354604 7328031906 10992047859 14656063812 21984095718 43968191436