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13520655616 = 281323296091
BaseRepresentation
bin11001001011110010…
…01101010100000000
31021220021111110200211
430211321031110000
5210142241434431
610113350323504
7656024451016
oct144571152400
937807443624
1013520655616
11580906a756
122754059594
131376209750
1492397a8b6
15541eea2b1
hex325e4d500

13520655616 has 144 divisors (see below), whose sum is σ = 31379160960. Its totient is φ = 5762211840.

The previous prime is 13520655613. The next prime is 13520655619. The reversal of 13520655616 is 61655602531.

It is an interprime number because it is at equal distance from previous prime (13520655613) and next prime (13520655619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520655613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2216731 + ... + 2222821.

It is an arithmetic number, because the mean of its divisors is an integer number (217910840).

Almost surely, 213520655616 is an apocalyptic number.

13520655616 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 13520655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689580480).

13520655616 is an abundant number, since it is smaller than the sum of its proper divisors (17858505344).

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

13520655616 is a wasteful number, since it uses less digits than its factorization.

13520655616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 13520655616 in words is "thirteen billion, five hundred twenty million, six hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 29 32 46 52 58 64 92 104 116 128 184 208 232 256 299 368 377 416 464 598 667 736 754 832 928 1196 1334 1472 1508 1664 1856 2392 2668 2944 3016 3328 3712 4784 5336 5888 6032 6091 7424 8671 9568 10672 12064 12182 17342 19136 21344 24128 24364 34684 38272 42688 48256 48728 69368 76544 79183 85376 96512 97456 138736 140093 158366 170752 176639 194912 277472 280186 316732 353278 389824 554944 560372 633464 706556 779648 1109888 1120744 1266928 1413112 1559296 1821209 2219776 2241488 2296307 2533856 2826224 3642418 4062697 4482976 4592614 5067712 5652448 7284836 8125394 8965952 9185228 10135424 11304896 14569672 16250788 17931904 18370456 20270848 22609792 29139344 32501576 35863808 36740912 45219584 52815061 58278688 65003152 73481824 105630122 116557376 130006304 146963648 211260244 233114752 260012608 293927296 422520488 466229504 520025216 587854592 845040976 1040050432 1690081952 3380163904 6760327808 13520655616