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13537103440 = 245767421857
BaseRepresentation
bin11001001101101111…
…11100111001010000
31021221102110002212111
430212313330321100
5210210444302230
610115135035104
7656314323610
oct144667747120
937842402774
1013537103440
1158173841a3
12275966ba94
1313797480a3
14925c1ca40
1554369892a
hex326dfce50

13537103440 has 160 divisors (see below), whose sum is σ = 36636297984. Its totient is φ = 4555837440.

The previous prime is 13537103369. The next prime is 13537103441. The reversal of 13537103440 is 4430173531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13537103441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15795492 + ... + 15796348.

Almost surely, 213537103440 is an apocalyptic number.

13537103440 is a gapful number since it is divisible by the number (10) 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 13537103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18318148992).

13537103440 is an abundant number, since it is smaller than the sum of its proper divisors (23099194544).

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

13537103440 is a wasteful number, since it uses less digits than its factorization.

13537103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 13537103440 its reverse (4430173531), we get a palindrome (17967276971).

The spelling of 13537103440 in words is "thirteen billion, five hundred thirty-seven million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 421 469 536 560 670 842 857 938 1072 1340 1684 1714 1876 2105 2345 2680 2947 3368 3428 3752 4210 4285 4690 5360 5894 5999 6736 6856 7504 8420 8570 9380 11788 11998 13712 14735 16840 17140 18760 23576 23996 28207 29470 29995 33680 34280 37520 47152 47992 56414 57419 58940 59990 68560 95984 112828 114838 117880 119980 141035 197449 225656 229676 235760 239960 282070 287095 360797 394898 401933 451312 459352 479920 564140 574190 721594 789796 803866 918704 987245 1128280 1148380 1443188 1579592 1607732 1803985 1974490 2009665 2256560 2296760 2525579 2886376 3159184 3215464 3607970 3948980 4019330 4593520 5051158 5772752 6430928 7215940 7897960 8038660 10102316 12627895 14431880 15795920 16077320 20204632 24173399 25255790 28863760 32154640 40409264 48346798 50511580 96693596 101023160 120866995 169213793 193387192 202046320 241733990 338427586 386774384 483467980 676855172 846068965 966935960 1353710344 1692137930 1933871920 2707420688 3384275860 6768551720 13537103440