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13135539328 = 271729415077
BaseRepresentation
bin11000011101111000…
…00110110010000000
31020220102211112110121
430032330012302000
5203400144224303
610011232110024
7643340146012
oct141674066200
936812745417
1013135539328
11563074012a
122667095314
1313144a98a2
148c876c1b2
1551d2c69bd
hex30ef06c80

13135539328 has 128 divisors (see below), whose sum is σ = 29368105200. Its totient is φ = 5821562880.

The previous prime is 13135539317. The next prime is 13135539341. The reversal of 13135539328 is 82393553131.

It can be written as a sum of positive squares in 8 ways, for example, as 8958243904 + 4177295424 = 94648^2 + 64632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 2584726 + ... + 2589802.

Almost surely, 213135539328 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 13135539328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684052600).

13135539328 is an abundant number, since it is smaller than the sum of its proper divisors (16232565872).

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

13135539328 is a wasteful number, since it uses less digits than its factorization.

13135539328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5166 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The spelling of 13135539328 in words is "thirteen billion, one hundred thirty-five million, five hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 41 58 64 68 82 116 128 136 164 232 272 328 464 493 544 656 697 928 986 1088 1189 1312 1394 1856 1972 2176 2378 2624 2788 3712 3944 4756 5077 5248 5576 7888 9512 10154 11152 15776 19024 20213 20308 22304 31552 38048 40426 40616 44608 63104 76096 80852 81232 86309 89216 147233 152192 161704 162464 172618 208157 294466 323408 324928 345236 416314 588932 646816 649856 690472 832628 1177864 1293632 1380944 1665256 2355728 2502961 2587264 2761888 3330512 3538669 4711456 5005922 5523776 6036553 6661024 7077338 9422912 10011844 11047552 12073106 13322048 14154676 18845824 20023688 24146212 26644096 28309352 40047376 48292424 56618704 80094752 96584848 102621401 113237408 160189504 193169696 205242802 226474816 320379008 386339392 410485604 452949632 772678784 820971208 1641942416 3283884832 6567769664 13135539328