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13530330336 = 2532321571697
BaseRepresentation
bin11001001100111100…
…00111010011100000
31021220221200222220210
430212132013103200
5210202231032321
610114333534120
7656202624135
oct144636072340
937827628823
1013530330336
115813578496
122757344340
131378216233
14924d7858c
15542cabb76
hex3267874e0

13530330336 has 144 divisors (see below), whose sum is σ = 37386985104. Its totient is φ = 4284014592.

The previous prime is 13530330301. The next prime is 13530330377. The reversal of 13530330336 is 63303303531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7972240 + ... + 7973936.

It is an arithmetic number, because the mean of its divisors is an integer number (259631841).

Almost surely, 213530330336 is an apocalyptic number.

13530330336 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 13530330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18693492552).

13530330336 is an abundant number, since it is smaller than the sum of its proper divisors (23856654768).

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

13530330336 is a wasteful number, since it uses less digits than its factorization.

13530330336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 30.

Adding to 13530330336 its reverse (63303303531), we get a palindrome (76833633867).

The spelling of 13530330336 in words is "thirteen billion, five hundred thirty million, three hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 157 184 276 314 368 471 529 552 628 736 942 1058 1104 1256 1587 1697 1884 2116 2208 2512 3174 3394 3611 3768 4232 5024 5091 6348 6788 7222 7536 8464 10182 10833 12696 13576 14444 15072 16928 20364 21666 25392 27152 28888 39031 40728 43332 50784 54304 57776 78062 81456 83053 86664 115552 117093 156124 162912 166106 173328 234186 249159 266429 312248 332212 346656 468372 498318 532858 624496 664424 799287 897713 936744 996636 1065716 1248992 1328848 1598574 1795426 1873488 1993272 2131432 2657696 2693139 3197148 3590852 3746976 3986544 4262864 5386278 6127867 6394296 7181704 7973088 8525728 10772556 12255734 12788592 14363408 18383601 21545112 24511468 25577184 28726816 36767202 43090224 49022936 73534404 86180448 98045872 140940941 147068808 196091744 281881882 294137616 422822823 563763764 588275232 845645646 1127527528 1691291292 2255055056 3382582584 4510110112 6765165168 13530330336