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3545130680 = 2357132294253
BaseRepresentation
bin1101001101001110…
…0110011010111000
3100011001210022001022
43103103212122320
524230023140210
61343440242012
7153565053650
oct32323463270
910131708038
103545130680
11155a152173
1282b310308
1344660b580
14258b89360
1515b374155
hexd34e66b8

3545130680 has 128 divisors (see below), whose sum is σ = 9862473600. Its totient is φ = 1116813312.

The previous prime is 3545130679. The next prime is 3545130709. The reversal of 3545130680 is 860315453.

It is a Cunningham number, because it is equal to 595412-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3545130680.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 831434 + ... + 835686.

It is an arithmetic number, because the mean of its divisors is an integer number (77050575).

Almost surely, 23545130680 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 3545130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931236800).

3545130680 is an abundant number, since it is smaller than the sum of its proper divisors (6317342920).

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

3545130680 is a wasteful number, since it uses less digits than its factorization.

3545130680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 3545130680 is about 59540.9999916024. Note that the first 5 decimals coincide. The cubic root of 3545130680 is about 1524.7925085433.

The spelling of 3545130680 in words is "three billion, five hundred forty-five million, one hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 229 260 280 364 455 458 520 728 910 916 1145 1603 1820 1832 2290 2977 3206 3640 4253 4580 5954 6412 8015 8506 9160 11908 12824 14885 16030 17012 20839 21265 23816 29770 29771 32060 34024 41678 42530 55289 59540 59542 64120 83356 85060 104195 110578 119080 119084 148855 166712 170120 208390 221156 238168 276445 297710 387023 416780 442312 552890 595420 774046 833560 973937 1105780 1190840 1548092 1935115 1947874 2211560 3096184 3870230 3895748 4869685 6817559 7740460 7791496 9739370 12661181 13635118 15480920 19478740 25322362 27270236 34087795 38957480 50644724 54540472 63305905 68175590 88628267 101289448 126611810 136351180 177256534 253223620 272702360 354513068 443141335 506447240 709026136 886282670 1772565340 3545130680