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13067321136 = 2431923576079
BaseRepresentation
bin11000010101101111…
…10111111100110000
31020201200110200200220
430022313313330300
5203230213234021
610000354013040
7641551253112
oct141267677460
936650420626
1013067321136
1155a6186861
122648277180
1313033130ac
148bd6913b2
155172edcc6
hex30adf7f30

13067321136 has 80 divisors (see below), whose sum is σ = 35554867200. Its totient is φ = 4124093184.

The previous prime is 13067321101. The next prime is 13067321153. The reversal of 13067321136 is 63112376031.

It is a junction number, because it is equal to n+sod(n) for n = 13067321097 and 13067321106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146545 + ... + 2152623.

It is an arithmetic number, because the mean of its divisors is an integer number (444435840).

Almost surely, 213067321136 is an apocalyptic number.

13067321136 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 13067321136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777433600).

13067321136 is an abundant number, since it is smaller than the sum of its proper divisors (22487546064).

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

13067321136 is a wasteful number, since it uses less digits than its factorization.

13067321136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8466 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

Adding to 13067321136 its reverse (63112376031), we get a palindrome (76179697167).

The spelling of 13067321136 in words is "thirteen billion, sixty-seven million, three hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2357 4714 6079 7071 9428 12158 14142 18237 18856 24316 28284 36474 37712 44783 48632 56568 72948 89566 97264 113136 115501 134349 145896 179132 231002 268698 291792 346503 358264 462004 537396 693006 716528 924008 1074792 1386012 1848016 2149584 2772024 5544048 14328203 28656406 42984609 57312812 85969218 114625624 171938436 229251248 272235857 343876872 544471714 687753744 816707571 1088943428 1633415142 2177886856 3266830284 4355773712 6533660568 13067321136