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12535343730 = 2345713170063
BaseRepresentation
bin10111010110010101…
…00010101001110010
31012100121110102220000
423223022202221302
5201133021444410
65431511530430
7622431443430
oct135312425162
935317412800
1012535343730
115352969308
12251a089a16
13124a042c70
1486cb73d50
154d576adc0
hex2eb2a2a72

12535343730 has 160 divisors (see below), whose sum is σ = 41484731904. Its totient is φ = 2644804224.

The previous prime is 12535343713. The next prime is 12535343767. The reversal of 12535343730 is 3734353521.

12535343730 is a `hidden beast` number, since 1 + 2 + 53 + 534 + 3 + 73 + 0 = 666.

12535343730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11322 + ... + 158741.

Almost surely, 212535343730 is an apocalyptic number.

12535343730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12535343730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742365952).

12535343730 is an abundant number, since it is smaller than the sum of its proper divisors (28949388174).

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

12535343730 is a wasteful number, since it uses less digits than its factorization.

12535343730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170102 (or 170093 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 12535343730 in words is "twelve billion, five hundred thirty-five million, three hundred forty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1890 2106 2457 2730 2835 3510 4095 4914 5265 5670 7371 8190 10530 12285 14742 24570 36855 73710 170063 340126 510189 850315 1020378 1190441 1530567 1700630 2210819 2380882 2550945 3061134 3571323 4421638 4591701 5101890 5952205 6632457 7142646 7652835 9183402 10713969 11054095 11904410 13264914 13775103 15305670 15475733 17856615 19897371 21427938 22108190 22958505 27550206 30951466 32141907 33162285 35713230 39794742 45917010 46427199 53569845 59692113 64283814 66324570 68875515 77378665 92854398 96425721 99486855 107139690 119384226 137751030 139281597 154757330 160709535 179076339 192851442 198973710 232135995 278563194 298460565 321419070 358152678 417844791 464271990 482128605 596921130 696407985 835689582 895381695 964257210 1253534373 1392815970 1790763390 2089223955 2507068746 4178447910 6267671865 12535343730