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13148834304 = 29323477919
BaseRepresentation
bin11000011111011101…
…10100101000000000
31020221100211222202010
430033232310220000
5203412100144204
610012425052520
7643561150614
oct141756645000
936840758663
1013148834304
1156381a0911
12266b627140
131317183138
148ca42d344
1551e550d89
hex30fbb4a00

13148834304 has 160 divisors (see below), whose sum is σ = 37334753280. Its totient is φ = 4102664192.

The previous prime is 13148834287. The next prime is 13148834333. The reversal of 13148834304 is 40343884131.

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, 1656457 + ... + 1664375.

It is an arithmetic number, because the mean of its divisors is an integer number (233342208).

Almost surely, 213148834304 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 13148834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667376640).

13148834304 is an abundant number, since it is smaller than the sum of its proper divisors (24185918976).

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

13148834304 is an equidigital number, since it uses as much as digits as its factorization.

13148834304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 13148834304 in words is "thirteen billion, one hundred forty-eight million, eight hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 128 138 141 184 188 192 256 276 282 368 376 384 512 552 564 736 752 768 1081 1104 1128 1472 1504 1536 2162 2208 2256 2944 3008 3243 4324 4416 4512 5888 6016 6486 7919 8648 8832 9024 11776 12032 12972 15838 17296 17664 18048 23757 24064 25944 31676 34592 35328 36096 47514 51888 63352 69184 72192 95028 103776 126704 138368 182137 190056 207552 253408 276736 364274 372193 380112 415104 506816 546411 553472 728548 744386 760224 830208 1013632 1092822 1116579 1457096 1488772 1520448 1660416 2027264 2185644 2233158 2914192 2977544 3040896 4054528 4371288 4466316 5828384 5955088 6081792 8560439 8742576 8932632 11656768 11910176 12163584 17120878 17485152 17865264 23313536 23820352 25681317 34241756 34970304 35730528 46627072 47640704 51362634 68483512 69940608 71461056 93254144 95281408 102725268 136967024 139881216 142922112 190562816 205450536 273934048 279762432 285844224 410901072 547868096 571688448 821802144 1095736192 1643604288 2191472384 3287208576 4382944768 6574417152 13148834304