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13011756520 = 2357537312011
BaseRepresentation
bin11000001111000111…
…11010010111101000
31020120210220201101011
430013203322113220
5203122002202040
65551051033304
7640305051130
oct140743722750
936523821334
1013011756520
115577885294
12263173b834
1312c4959c19
148b6149ac0
155124c53ea
hex3078fa5e8

13011756520 has 128 divisors (see below), whose sum is σ = 34559965440. Its totient is φ = 4316682240.

The previous prime is 13011756509. The next prime is 13011756521. The reversal of 13011756520 is 2565711031.

It is not an unprimeable number, because it can be changed into a prime (13011756521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077315 + ... + 1089325.

It is an arithmetic number, because the mean of its divisors is an integer number (269999730).

Almost surely, 213011756520 is an apocalyptic number.

13011756520 is a gapful number since it is divisible by the number (10) 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 13011756520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279982720).

13011756520 is an abundant number, since it is smaller than the sum of its proper divisors (21548208920).

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

13011756520 is a wasteful number, since it uses less digits than its factorization.

13011756520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 13011756520 in words is "thirteen billion, eleven million, seven hundred fifty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 73 106 140 146 212 265 280 292 365 371 424 511 530 584 730 742 1022 1060 1460 1484 1855 2044 2120 2555 2920 2968 3710 3869 4088 5110 7420 7738 10220 12011 14840 15476 19345 20440 24022 27083 30952 38690 48044 54166 60055 77380 84077 96088 108332 120110 135415 154760 168154 216664 240220 270830 336308 420385 480440 541660 636583 672616 840770 876803 1083320 1273166 1681540 1753606 2546332 3182915 3363080 3507212 4384015 4456081 5092664 6137621 6365830 7014424 8768030 8912162 12275242 12731660 17536060 17824324 22280405 24550484 25463320 30688105 35072120 35648648 44560810 46470559 49100968 61376210 89121620 92941118 122752420 178243240 185882236 232352795 245504840 325293913 371764472 464705590 650587826 929411180 1301175652 1626469565 1858822360 2602351304 3252939130 6505878260 13011756520